[atari 2600]

Mickey is based on a cheer, of course, and the whole percussion is clapping and a bass drum.
Give Peace a Chance from the Montreal bed-in famously has clapping in the singalong style.
Laurie Anderson uses samples of hand claps on many songs, perhaps most notably on Big Science. During her concert film, Home of the Brave, she wears a percussive suit she designed that's programmed to play various samples...right down to a cymbals/high-hat thing when she presses forefinger to thumb.
Led Zeppelin has the clapping on songs like Black Country Woman, Boogie with Stu and Bron-y-Aur Stomp.
The Beatles, The Kinks, and The Replacements have a few.
The Chickasaw Muddpuppies employed lots of hand-clapping and stomping using a stomp board. Other percussive elements include things like "popcorn" drums and a washboard.
Recently, Beck and his band have done lots of found percussion, including clapping, of course. Their Clap Hands is not a Waits cover.