Of course the best band was Stones. Beatles close second but they weren't around long.
This is the correct and only answer.
We're talking about bands.
Versatility, longevity, cultural impact, influence.
How can anyone logically argue against the Stones?
They put out the most albums (meaning most productive), played the most variety of styles (most versatile) in almost every genre imaginable, have been going the longest (longevity), inspired almost everyone that came after them (influence).
Logically, it's impossible to argue against the Stones.