What are some easy, beautiful, two handed songs for me to learn on the piano?

[frode_jakobsen]

I just found an old keyboard in a closet, and I decided that I really want to learn how to play this instrument. Having played the guitar for about two years now, I know some stuff about music, and I suppose learning a second instrument won't be as hard. I'm not the kind of guy to play exercises and stuff... I want to play songs right away, and not one handed melodies. I need some easy songs that takes use of both hands. Like something where I play the melody on one hand and chords on the other. Any suggestions?

Thanks