That guy said Dangerous kitchen, that guy must be twisted lol.

I'm a Music Major in college who listens almost only to classical music now, but I still make time for Zappa. I have 30 or so of his albums and even a few bootlegs records I'm sure you can tell he's got a lot of different styles, so if you list a few of the songs you like I can better recommend shit. Anyways, here goes:

Albums:
Shiek Yerbouti(My personal favorite album, and the one I heard first that made me love Zappa)
One size fits all
Apostrophe
Over-Nite
Hot Rats
Waka/Jawaka
Live in New York
The Best Band You Never Heard in Your Life
Shut up 'n' Play yer guiter (3CD)
Joes Garage

Shiek, Apostrophe, One Size, and Over-Nite are all pretty much "rock-pop" albums. Hot Rats, Waka/Jawaka, and The Grand Wazoo are all Jazz themed. Live in NY and The Best Band are both Live albums. Shut up 'n' play is a collection of guitar solos set to new music, sort of. That should give you a pretty good idea of an album or two to check out.

Some favorite songs are:

Andy
Pojama people
Flakes
Broken hearts are for Assholes
Rat Tomago
Zoot Allures
Punkys whips

Damn I could go on all day I'll just stop talking now.