ANSWER
All three films feature music by Aerosmith, specifically recorded for that film.
"Come Together", for "Sgt. Pepper's Lonely Hearts Club Band"
"I Don't Want to Miss a Thing" and "What Kind of Love Are You On", for "Armageddon"
"Lizard Love", for "Rugrats Go Wild!"
In addition to Aerosmith's cover of "Come Together", the "Sgt. Pepper's" soundtrack also includes a great version of "Got to Get You into My Life" by Earth, Wind & Fire. Less memorable are Steve Martin's version of "Maxwell's Silver Hammer" and George Burns' rendition of "Fixing a Hole".
WHO GOT IT RIGHT: Marc Quinlivan, Bob Milligan, Scott Flaxman, Wayne Rockett, JP Weigt, Robin Campbell, and Ilana G.