The song I really like to sing is Get Out of Denver by Bob Seger. I've been trying to sing it all the way through for years but it's too fast for me. I always have to stop and take a breath somewhere while Seger's still singing. That song takes some serious breath control.
The only place I've found the song is on his Live Bullet album. If you're a Bob Seger fan and you haven't heard it, you can listen to some of it free on iTunes.
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Rip This Joint, by the Rolling Stones is fun to sing.
I'll sing anything by The Beatles. Or at least I'll sing the parts of songs with notes I can hit,
Some Beach Boys songs, Little Deuce Coupe, Fun, Fun, Fun, Wouldn't It Be Nice, Good Vibrations, A whole bunch of others.
I like to sing girl group songs from Ronnie and the Ronettes, The Shirelles, Diana Ross and the Supremes, Gladys Knight and the Pips...
AC/DC songs, Eagles songs, Bruce, Zeppelin, Aerosmith, The Who songs...
I keep a tambourine in the car and I ride down the Garden State Parkway singing at the top of my lungs and keeping time with the tambourine banging against the steering wheel. I get strange looks from people...
Every Thanksgiving I sing Alice's Restaurant with Arlo Guthrie.
And always Chuck Berry, Buddy Holly and Little Richard songs.