What are some good songs to cover?

I'm the member of a band (RCLobsters) consisting of a vocalist, guitarist, bist, keyboardist, and drummer, and we were thinking about covering more songs. Can anyone give us a few good suggestions? were mostly alternative rock i would say but we'll take any suggestions. Weve already decided to cover Nirvana -Breed, and were toying around with a few ideas like Slipknot - My Plague, and Rush - Tom Sawyer. And if it helps at all i know a few favorite bands of ours would be Slipknot, System of a Down, The Beatles, Tenacious D, The Strokes, Pink Floyd, Rage Against the Machine, Korn and Disturbed and many others, so as you can see we listen to a wide variety. Thanks to all answers!