Here is some popular ones: Attack on Titan, Bleach, Fairytail, Naruto, One Piece, Black butler, Sword art Online, pokemon,free, hetalia, and etc.
Comedy/parody: nichijou, Hetalia, Ouran highschool host club, kill me baby, lucky star, panty and stocking, Haruhi suzimiya, ( i don't think i spelled that right :3) Hevans lost property.
Romantic/romantic comedy: kotura-san, My little monster, Ouran Highschool Host Club, sankarea, Kimi no todoke, Heavens lost property, My bride is a mermaid, hyouka, toradora, yamadas first time.
Fighting stuff: Blue exrocist, ( and pretty much all the popular ones above)
Supernatural stuff: ghost hunt, ghost hound, another, death note, tokyo ghoul, soul eater.
Others: Durarara, xxxHolic, assassination classroom, So long Mr. Dispear, K-on, Sgt. Frog
There are a TON more i just named the ones that are on my mind right now ( there may be some spelling errors) ^_^, so i hoped this helped a little!
Fluffy kitten for good luck! :3