Music wise, Escaflowne has one of the best soundtracks out there, it has something for everyone! Definitely in it for the music and the art style (in the case of the movie).
The Slayers is freakin' hilarious, everyone's gotta love em! I haven't come across anyone yet that's said anything bad about the series. *big grin* Try has one of my favorite theme songs, to, just wish they'd bring the rest over here quicker.
I got to view some Tsubasa scans, up to book three, when that manga comes out I'm gonna be the first in line to get it- I kind of wish they'd make an anime to it, too! Karo kicks a**, enough said.
Gundam Wing is a classic, Ranma has great slapstick, Rah Xephon has got the best of like.... everything, and yeah a lot of people I know say it's like Evangelion but with a theme revolving around music, and that might be true, but I don't mind. It's easier for me to follow because I can relate to the main character. He's one of the first ones that doesn't run around accepting fate easy peasy, he's a scared seventeen year old artist that's gotta go through a lot of s**t, and he doesn't take it from anybody. He shows realistic reactions to his surroundings, especially considering that most people despise his type. I get the feeling there's gonna be some heavy drama in the end...
Those are all the picks I can remember right now.