Gee,
Considering that my website is devoted to the Beatles I'm fairly certain that my opinion would be totally unbiased! lol!
Without wanting to spoil the game I would never actually try to consider which is the "best" band. On some days I love the music of the Stones and other days I need a Beatles fix. Truthfully, both bands have recorded a full compliment of music styles (rock, country, bubblegum, etc.) and my own opinion is that a hard Stones song (Street Fighting Man) is on par with a hard Beatles song (Helter Skelter).
Why not just recognize that we are blessed to have both bands to enjoy?
Cheers,
Jason
jmc@yesterday.uk.com