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Does anyone know a few good songs with great vocals,guitar, and piano?

My friends and I are in a talent show at our high school and we cant decide on a song to do that consists of good vocals, guitar, and piano.
The last show we did, me and my friend did a song that only consisted of vocals and piano which was "Hometown Glory" by Adele. And now we've added my boyfriend to the mix to play guitar in our little group. We're thinking of doing "Sea of Love" by Cat Power for the audition(It's not hard to get through our High Schools' auditions) . Also lately we've been practicing songs such as "Karma police" by Radiohead , "Everlong" by Foo Fighters, "Bang Bang (My baby shot me)" by Nancy Sinatra, "Under the Bridge" by The Red Hot Chili Peppers, "My Moon, My Man" by Feist, and "Young Folks" by Peter, Bjorn, and John. It''s okay if certain songs need a drummer or a bassist, we have a few friends who wouldn't mind helping out in those departments, but we need songs that have strong recognizable vocals, guitar, and piano.

Karma police is great I've done that on keys vocals and piano myself using 4 track. Good choice…

Erm, smashing pumpkins, there might be something there, today or 1979… erm, perfect day by lou reed…

Lucky by Radiohead works on piano pretty well.

Pyramid Song by Radiohead

New Born by Muse

Sunburn by Muse

Try some sigur ros stuff, its really amazing as well