Here is my list. I'm not wild about some of these bands, but sure appreciate their greatness.
The Rolling Stones - probably my all time favorite band
The Beatles - I hate their music, but they are undoubtedly one of the greatest of all times.
U2 - I actually meet Bono once - he's a short little fucker. Awesome group though. I have seen them several times in concert.
The Beach Boys - Again, I hate their music. But their contribution is with out questionably great.
Led Zeppelin - No doubt they are in anyones group of one of the greatest.
The Romones - The were true pioneers.
The Clash - They started the garage band movement. Hate their music though.
The Who
Nirvana
Greatful Dead (Hmmmm, are they really rock and roll?)
I debated whether or not to include Jimmy Hendrix and the Experience. Technically, there were a band so they should probably be included. BUT, you always think of him as a solo artist. If you include them as a band, then they would be on my list.
Yes, I love Van Halen, Metallica and others. I just don't think they are as important, and great, as some other bands.