Okay since no one else likes Evangelion

Psychological
Puella magi madoka
Future Diary/Mirai nikki
Code geass
Ghost in a shell
Parasyte (amazing)
Paranoia agent (wasn't amazing, pretty meh compared to others above but that's just my opinion!)

Horror/psychological:
Higurashi no naku koro ni
Berserk (makes elfen lied look like 4kids in comparison)
Elfen lied
Shiki
Gantz

Comedy:
Gintama
GTO
School rumble
Ouran host club

Sad times, much tears:
Clannad
Air
Kimi ga nozumu ein (hated the ending)
Grave of fireflies (DO NOT WATCH THIS UNLESS YOU WANT TO BE SCARRED FOR LIFE, CANNOT UNSEE, SO SAD YOU MAY FEEL LIKE DYING)

Romance:
Aoi spring ride
Kimi ni todoke
Golden time (made from same team as Toradora, similar art style but more grown up. Centres around university life)
Strobe edge

Fantasy:
Natsume yuujinchou (very relaxing to watch)
Yona of the dawn
Spice and wolf
Inuyasha
Ranma 1/2

Action:
Claymore (loved this, very gritty too)
FMA
Rorouni kenshin/samurai x
Cowboy bebop

Drama:
Guilty crown
Your lie in April
Clannad: after story
Honey and Clover
Nagi no asakura