Broad discography indeed...63 records to be precise! He's an immensely talented composer with an eccentric personality and sense of humor, and if you don't fancy progressive music, you probably wouldn't appreciate his work. Ask yourself whether you like music along the lines of Yes, Rush, and King Crimson (though Zappa isn't remotely as heavy as any of them), and then decide whether you think it's worth investigating. If you feel inclined, I would recommend "Joe's Garage Acts I, II, and III"(available in a single box-set, originally released separately) as well as "We're Only In It for the Money" with the mothers of invention, simply because they aren't quite as bizarre as his other recordings, and I believe they are a bit more accessible.