Ahisteruze Baby
Berserk (isnt straight up what you are looking for but its also categorized as romance/drama)
Black Cat (drama, comedy)
Busou Renkin (hits all your genres)
Clannad (i heard thats supposed to be a good one)
Cowboy Bebop (comedy, drama)
D. N. Angel (comedy, drama, romance)
Fate/Stay Night (drama, romance)
Full Metal Alchemist (drama, comedy)
Gintama (comedy but also at parts drama)
Gungrave (drama)
Macross Frontier (comedy, romance)
Night Wizard (comedy, drama)
Steins;Gate (actualy gets pretty sad and dramatic towards the end)
Kami Nomi zo Shiru Sekai Season 1&2 (comedy, romance)
X 1999 (drama)
Ps; you mean anime shows not anime genre.
You already specified the genres you want, drama,romance,comedy.
