I never grew up watching The Simpsons, but I am a huge Beatles fan. When I decided to go through all the episodes of The Simpsons, I noticed around Season 2 that there are a lot of references to The Beatles. It was Season 3 I heard music that sounded an awful lot like Golden Slumbers, which is when I decided to look up all the Beatles references found in the Simpsons.
Here's a link to all the references to The Beatles. I have just finished episode 8F06 (Lisa's Pony). The only reference I missed was in 8F05, which I have no idea how I missed that one. I'm even more amazed I was able to point out the reference to "Martha My Dear". 6 for 7, that isn't bad.
If you're a fan of The Beatles and you enjoy watching the Simpson's, I suggest you avoid looking at the list of references and seeing how many you can spot on your own.
I never seen the Beatles, but I have seen The Who, Nirvana, Jimi Hendrix and REM, and maybe Pink Floyd. But never seen the Beatles, weird. well maybe I did, but i forgot.