If you liked
Samurai Champloo
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...then you might like
Oh! Edo Rocket
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Both are not-so-historical anime set in feudal Japan, that employ elements of comedy, action, and western music to give themselves a unique flavor. Samurai Champloo tends to be more serious and has a hip-hop soundtrack, while Edo Rocket is more lighthearted with a jazz soundtrack. Both also follow a relatively episodic plot in which the characters attempt to get closer to a set goal.
If you liked
Shinchou Yuusha: Kono Yuusha ga Ore Tueee Kuse ni Shinchou Sugiru
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...then you might like
Itai no wa Iya nanode Bougyoryoku ni Kyokufuri Shitai to Omoimasu.
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Both are MMO-themed fantasy/comedy series that mostly focus their comedy around how ridiculously OP the MC gets, while they play off their outlandish feats as just being normal.
If you liked
Dirty Pair
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...then you might like
Lost Universe
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Both are lighthearted episodic sci-fi series that follow the misadventures of Trouble Consultants/Contractors, as they take assorted jobs around the galaxy and complete them with some foolery along the way.
If you liked
Ginga Kikoutai Majestic Prince
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...then you might like
Shinkansen Henkei Robo Shinkalion The Animation
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Both series feature teams of young pilots with a focus on their relationships and bonding, and also well made CGI mecha action. Both series also have a relatively wholesome overall atmosphere, with adults in the supporting cast who are not only competent, but also care for the young fighters they command.
If you liked
Heroic Age
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...then you might like
Mass Effect: Paragon Lost
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Both take place in universes where humanity is a fairly recent addition to the galactic community, and is looked down upon by other races. In both entries, the human characters are fighting against an insurmountable alien force that is hunting them down. Some of the side characters' abilities in Heroic Age are similar to the Biotics in ME as well, although I recommend playing the games in full if you enjoyed Heroic Age rather than just watching the movie, as there are further similarities in plot and world elements that aren't really touched upon in Paragon Lost.
If you liked
Heroic Age
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...then you might like
Uchuu Senkan Yamato 2199
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Both are deep space series in which a group of humans has set out in search of a way to fight back against an overwhelming force of alien enemies, with great animation and music.
If you liked
Netoge no Yome wa Onnanoko ja Nai to Omotta?
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...then you might like
Gamers!
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Both are romance series focused around a group of high school gamers and their mutual interest, however Netoge no Yome focuses more on the group's dynamic within the club and helping Ako distinguish the game from reality, while Gamers is more focused on the misunderstandings that arise from the group not knowing how to communicate. While both are comedic, Netoge uses fanservice for humor at times, while Gamers is more tame
If you liked
Netoge no Yome wa Onnanoko ja Nai to Omotta?
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...then you might like
3D Kanojo: Real Girl
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Both are high school romance anime in which one of the leads is a shut-in who hates "normies" and has little to no social life, while the other is more well adjusted. The notable difference is that in 3D GF the guy is the shut-in, while in Netoge no Yome it's the girl. Netoge no Yome also has much more fanservice.
If you liked
Magic Knight Rayearth
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...then you might like
Rinne no Lagrange
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Both have a main cast consisting of 3 girls who become fast friends and fight to save/defend the world in giant robots.
If you liked
Rinne no Lagrange
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...then you might like
Machikado Mazoku
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Both are series that largely focus on the bonding between female characters who are from different backgrounds/factions, and would seemingly be enemies, but overcoming that barrier to become close friends.
If you liked
Rinne no Lagrange
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...then you might like
Senki Zesshou Symphogear
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Both series have an MC who is thrust into a combat role due to an event in their past that allowed them to take upon the position (using a Gear for Hibiki and piloting a Vox for Midori), and focus on their relationships with their allies as they now fight to protect Earth. The Gear designs and pilot suits have somewhat similar designs as well.
If you liked
Slayers
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...then you might like
Itai no wa Iya nanode Bougyoryoku ni Kyokufuri Shitai to Omoimasu.
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Both are comedic fantasy anime that follow overpowered female protagonists who are feared by most who know them, and have a party of capable supporters. The main difference is that Slayers is set in an actual fantasy world, whereas Bofuri is set within an MMO.
If you liked
Gundam Build Divers
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...then you might like
Itai no wa Iya nanode Bougyoryoku ni Kyokufuri Shitai to Omoimasu.
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Both are light MMO anime that follow a pair friends as they dive into a VRMMO, make new friends to form a guild, and partake in in-game events to gain prestige for their guilds. While Build Divers and Bofuri may seem very different because one is a mecha MMO and the other is fantasy, both of the in-game worlds and communities have similar friendly vibes.
If you liked
Project Zeorymer
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...then you might like
Star Driver: Kagayaki no Takuto
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Both feature plots in which the main characters have to fight alone against numerous mechas similar their own, with really great animation during the battles. Both main characters also have issues regarding their fathers, although the way they're implemented is quite different in each of the shows.
If you liked
Slayers
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...then you might like
Detatoko Princess
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Both are 90s fantasy series featuring over the top humor and female leads with magic abilities. While Slayers knows when to tone down the humor and be serious, Detatoko Princess is a non-stop barrage of ridiculousness
If you liked
Kikou Kai Galient
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...then you might like
Break Blade Movie 1: Kakusei no Toki
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Both are fantasy mecha series in which the main character comes fo inherit a powerful machine that's been hidden away, in both cases due to a close relationship they have to kings. The main difference is that Galient's MC is more outwardly willing to fight to achieve his goals, while Break Blade's MC initially seeks to avoid combat and the series deals with how he comes to terms with his new position in the military.
If you liked
Macross
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...then you might like
Choujuu Kishin Dancougar
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Both are military based 80s mecha series in which humanity is fighting a desperate battle against alien invaders. Both shows also come with a hefty dose of drama, although Macross' is more love triangle related while in Dancouga it comes from the squad's dynamic and Sara's lingering feelings for Shapiro. Notable difference is that Macross is a real robot series and Dancouga is super robot.
If you liked
Narue no Sekai
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...then you might like
Jitsu wa Watashi wa
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Both shows feature on a somewhat meek male lead who falls for a not-so-human girl, which leads to even more unusual foolery starting to surround him. While both have some light fanservice, Jitsu wa has some more deliberately raunchy humor and is based around the dynamic between the Asahi and Yoko (including how they seem to keep dodging ending up together), while NnS is a coming of age story that focuses on Narue and Kazuto going through their first relationship together
If you liked
Narue no Sekai
|
...then you might like
Kimagure Orange☆Road
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Both are romcoms following late middle school relationships with a little bit of a supernatural twist tossed into the coming of age premise. Both also have some out of place usage of fanservice that doesn't quite fit with how generally tame both shows are.
If you liked
Transistor Venus
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...then you might like
Dirty Pair no Daibouken
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Both are episodic sci-fi adventure stories following female agents, where things tend to get destructive around the main characters, and a pretty hefty dose of yuri ecchi action as well.
If you liked
Kidou Senkan Nadesico
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...then you might like
Slayers
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Both are 90s anime that blend self-aware humor and exaggerated characterizations with serious and dramatic plot points. While one is a fantasy adventure and the other a parody of military mecha, the humor of both series is fairly similar, and would appeal to viewers even if they aren't necessarily fans of the differing genres
If you liked
Ginga Ojousama Densetsu Yuna: Kanashimi no Siren
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...then you might like
Detatoko Princess
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Both are short OVAs following an adventures of good-natured but ditzy female protagonists, with a heavy serving of over the top and ridiculous 90s anime humor. Despite Detatoko Princess being fantasy and Yuna being sci-fi, both have taken pretty clear influence from magical girl anime
If you liked
Metal Fighter Miku
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...then you might like
Circlet Princess
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Both shows have predominantly female casts who fight in sci-fi combat sports, with both shows having a heavy focus on the girls training and learning new techniques, while building up to a rematch against an opponent who defeated them in the beginning.
If you liked
Soukou Kihei Votoms
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...then you might like
Egao no Daika
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Both series have heavy focus on the grunts in war, with mass produced mecha used as replacements for traditional infantry. Stella's characterization is reminiscent of Chirico's, and the episodes where she is the lead are the ones that will be most enjoyable if you liked VOTOMS.
If you liked
Soukou Kihei Votoms
|
...then you might like
Granbelm
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The similarities between these two series are specifically in regards to Shingetsu, and VOTOMS' MC Chirico. Shingetsu's personal journey and status in the Granbelm competition is very similar to how Chirico's is during the war. The similarities between the two characters goes beyond their stoic attitudes and general character growth progression, as both series have a pretty identical, spoilery reveal regarding them at towards the end of the series
If you liked
Slayers
|
...then you might like
Dirty Pair Flash
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Both are 90s series with explosive female leads and loud, sometimes ridiculous humor. They differ in setting, as DPF is sci-fi and Slayers is fantasy
If you liked
Neo Ranga
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...then you might like
Ariel Visual
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Both follow trios of girls who are related to each other, as their lives are changed by the sudden introduction of the series titular mechas (if you can count Neo Ranga himself as a mecha). Ranga is often more serious but not without it's lighthearted moments, while Ariel is more laid back overall. Ranga is however much more fleshed out, as Ariel feels more like an extended promo for the novels or a failed pilot episode
If you liked
Full Metal Panic!
|
...then you might like
Gunparade March: Arata Naru Kougunka
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Both are series that mix down-to-Earth real robot mecha action with high school comedy and a cute romance, with a fairly clueless male lead in both cases (although for different reasons)
If you liked
Uta∽Kata
|
...then you might like
Ano Natsu de Matteru
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Both have summertime settings, and use that to tell a story in which a girl of mysterious origin appears, and shakes up the established dynamics of a group of a friends. In Uta~Kata it's more supernatural, whereas Ano Natsu is scifi, with the girl being an alien. Another difference is that Uta~Kata, the supernatural elements are used to help illustrate the coming of age themes, whereas in Ano Natsu, the scifi elements are more there to provide a little flavor to the drama
If you liked
Koukyoushihen Eureka Seven
|
...then you might like
Uta∽Kata
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Both stories tell coming of age stories with great costume designs and distinct art styles. While they may initially seem different due to their wildly different genres (Uta~Kata being a magical girl anime and Eureka Seven being a mecha anime), both tie in the elements of their particular genres to help illustrate the main character's developments as they grow and mature, and share a similar progression where the first halves are a little slow and kinda meandering, with a tone that is somewhat lighthearted with an air of something more serious looming around the corner. The second halves of both shows delve right into that and are notably much darker, as well as being when they both become more streamlined and focused.