Fushigi Yuugi, InuYasha Recommendations
Both are romantic comedies set in feuderal areas in their respective countries. Both are full of twists and turns to keep you on your seat and cheering for your favorite couple to get together.
These 2 long and nice series have countless similarities.
In both the female protagonist is an average schoolgirl who gets transported into another world with a historical setting; shortly after that, she discovers to be a miko and to have some kind of power; later on, she falls in love with a guy she met in this new world. The main difference is that Inuyasha has a stronger personality than Tamahome, and Kagome is not as annoying and useless as Miaka.
These manga, obviously, also share the same genres: adventure, fantasy, romance, drama, comedy. Fushigi Yugi is a reverse harem shoujo manga, while Inuyasha is more like
A "normal" girl gets put into a feudal type era and meets a guy she likes...but they're different enough to be really interesting! Like they go on different quests in each one...anyway...both good (so far)