Alright. I'll give you a list of all the good anime that I remember watching:
Trigun
One piece, despite what most mindless drones about the big three one piece is really good, can be slow at times but it is still a good anime. It's honestly the best of the big three IMO. Also, don't watch it in dubbed, it's awful.
Black lagoon
Black cat
cowboy bebop
angel beats
Deadman wonderland even though it's short
fullmetal alchemist
Full metal alchemist brotherhood.
Air gear
Yu Yu Hakasho (old but still good)
Baccano
Busou renkin (shounen)
Bobobo-bo bo-bobo (one of the funniest animes i've ever seen)
Clannad (including after story or it's just stupid)
Darker than Black
Devil may cry
Full metal panic
Fate/zero
Ghost in the shell (1st and 2nd season)
GTO (great teacher onizuka)
Kaze no stigma
Monster
Samurai Champloo
Solty rei