I play acoustic mostly, and I when I do play, it is either with one other person or by myself.
I do a mean Yellow Ledbetter (Pearl Jam), a pretty decent High and Dry (Radiohead), and a really good Creep (STP)... so I guess you could say anything that I can make into a solo performance.
If I had a band... Sex Type Thing (STP), Caught in the Rain (Revis), Everlong (Foo Fighters) and a song I have been DYING to cover is Beautiful Disaster by 311.