Top 5 greatest American bands of all time

[trapsetter]

When I think of the great all time bands, the vast majority that come to mind, such as the Beatles, the Stones, Zeppelin, Pink Floyd, etc., are all British. Very few American bands come to mind in this league. Who would you say the top 5 greatest are?

Remember- I'm not just talking about your own personal favorites, I'm talking about the how prolific they were and their international popularity. The Doors come to mind, for example.

Who would be the top 5 all-time American bands in your opinion?