Captain Jack- play it loud and hear the crowd surge with the music. It'll make the hairs stand up on the back of your neck!
Say Goodbye To Hollywood- I fell in love with this recording of the song the moment I heard it. Fantastic backing harmonies in the chorus, it's so lively and happy!
Those are the three awesome songs from the album. The rest are pretty good too!! Here are a couple more I'll throw in because they're cool and I've also just learned how to embed youtube videos!
The Stranger- Definitely one of his most underrated songs, this one is awesome and comes from (probably) his best album, of the same name!
Stiletto- Another great underrated song, from the awesomely cool jazzy album 52nd Street.
So there you go- some great Billy Joel songs! But believe me, there are plenty more where that came from. If you can listen to all of them and tell me you don't like him, then you're a brave person indeed!