Chihayafuru is an amazing sports anime, with a very sweet tone of friendship and love, based on a not too known game: Karuta.
On the other side, Uta Koi is an historical anime exactly about telling the love stories behind the poems who actually compose the Karuta game. The love stories happened to the poets who gave them the inspiration and experience to make beautiful poems.
Both series are josei genre and share some sort of romantic feeling as well.
Personally i've started Uta Koi after i watched Chihayafuru, right because i wanted to understand deeper the poems of the Karuta game; and i have to say that it's very interesting.
Uta Koi's artstyle is particular but at the same time can be great, Chihayafuru's art is gorgeous and both series have a very awesome cast.
I certainly recommend to watch both :D read more
In a nutshell, both series has a variety of similarities.
Both series involves the idea of poem and turning it into a story that is insightful and entertaining.
Both series has drama as well as some romance and friendship elements
Both series has josei like artwork and themes.
Both series has a small cast of characters but entertaining to watch.
Chihayafuru is about karuta, a game that feature the one hundred poems of the Hyakunin isshu, while Uta Koi tells the story of the compilation of those one hundred poems, focusing on some. Both are josei/drama, and will for sure give you lots of feels. If you watched one of those, please check the other.
Considering the fact that Utakoi is almost an unofficial companion anime to Chihayafuru, its much lower viewership is surprising. Although the presentation of the two anime is decidedly different, the main similarity between the two is the 100 Poems - whereas one focuses on the card game derived from the poems, the other explores their context and the poets who composed them.
Anyone who felt even a little interest in the world of the Hyakuninisshu in Chihayafuru should watch Utakoi. An entertaining anime in its own right, it offers the ('liberally interpreted') stories behind the poems in a way which is very funny, sometimes tragic, and always compelling. It also has an amusing art style and some funky music!
(Plus Kana-chan's poetic references throughout Chihayafuru would make a lot more sense after Utakoi) read more
Both series are adapted from classic or traditional Japanese literature. In Aoi Bungaku, there are 6 stories based on early 20th century novels, where as in Uta Koi, the focus is on the 100 romantic poems from the Heian (794 to 1185) era.
Stylistically they are very different, Aoi Bungaku being dark, psychological and intense. Uta Koi is focused on romantic tales, which as of Episode 1 have a lighthearted atmosphere. Despite these differences, anyone interested in exploring a different facet of Japanese culture should give both of these a watch.
One, about poems, the other about rakugo. Both heartbreaking in their own way. If you watched Uta Koi and want another story filled up with angst, that feature tragic love stories and very adult and mature characters, then please watch Rakugo Shinjuu (same thing the other way around).
Both are josei period dramas about old and unique forms of Japanese art (rakugo or short poems). Both embed to a significant extent the actual content of those arts into narrative. Both are about how performing the art influences one's everyday life, dealing particularly with romance/friendships part of it. Uta Koi however is slightly postmodern, its episodes vary in tone and include elements of absurd comedy while Rakugo tells a continuous and somber story.
They have both the same setting and follow skilled, good-looking nobleman and their lovers at the court. Both are full of passion and drama.
They also have a simular background: While 'Genji Monogatari Sennenki' is based on one of the first novels writen by the court lady Murasaki Shikibu, in 'Chouyaku Hyakuninisshu' Murasaki Shikibu and her rival Sei Shōnagon, that also wrote one of the first novels (Makura no Sōshi/The Pillow Book), are characters of the anime.
But there are also diffences, The art and style are different and 'Chouyaku Hyakuninisshu' has also comedy and fllows different nobleman/poets, while 'Genji Monogatari Sennenki' only tells Genji's dramatic story.  read more
Both Anime take a classic from literature and put a new spin on them. One adaptation is more liberal and farther from the original. However, but both feature romances with literary ties that deal with star crossed lovers,
Both animes show historical events from a modern perspective (something like: At the present time, what can we gain from knowlage about historical events/poets?). They have comedy elements, are really entertaining but also educational.
Both are about japanese literature/culture/history , and their main aim is to teach japanese magnificient literature to the audience, instead of telling a main story just like a normal anime. However, both shows are also very entertaining and easy to watch.