InuYasha, Tate no Yuusha no Nariagari Recommendations
-Human MC transported to new world (in Tate no yuusha the guy was transported and became a hero while in Inuyasha the girl was transported because she got dragged by a monster)
-They both travel and villager seek help from them.
-Main girl is a demi-human while in Inuyasha the main guy is a Half-human Half-Demon.
There's a lot more similarity about these two and I probably missed out some of them but I totally recommend this a must watch.