Action I say you should go with NOIR, one of the best series around and yet it completely flys under the radar. Also another series that no one really up on is Daphne In The Brilliant Blue, truly underrated in my honest opinion. Comedy I's have to say Ah My Goddess, this also has a bit of a romantic side to it. Be sure to watch Flight of Fancy also, it picks right up where the first Ah My Goddess left off. Drama you might want to check out AIR TV, it also has a movie to it as well.
Avoid:
Aquarion, stupid
Glass Fleet, stupid, boring
Agent Aika Dubbed, terrible and down right lazy Dubbing
Aria The Animation, boring
Princess Resurrection ,not very interesting
Wedding Peach, the best way to describe this as someone said "a poor man's Sailor Moon"
Pet Shop Of Horrors, stupid, boring, and this sucks Dubbed
Don't think I'm just bashing those series Dubbed because they're just Dubbed, I'm saying it to be honest as I possibly can.
Some of my personal favorites:
My-HiME
My-Otome, Zwei and Sifr
Black Lagoon
NANA
Samurai Champloo
Ai Yori Aoshi and Ai Yori Aoshi ~Enishi~
RIN ~Daughters Of Mnemosyne~
Fushigi Yugi
Maria Watches Over Us
I hope I was some sort of help to you and for any info on these shows I mention and other shows go to http://www.animenewsnetwork.com