I should say that the only way they can sound best is LOUD. You also have to have a system that can deliver the goods accordingly. Rolling Stones records sound largely average to poor on many systems. They can be very nice and involving on a good setup however, especially at louder volume. If most RS material sounds very good in a more "organic" sense and gets your foot tapping (they might never or rarely be considered reference type recordings)that is probably a good indicator that your system is up to snuff to bring out the best in many less than reference quality recordings as well.
I remember when I first listened to many older stones records as a kid, I too thought many that sound fantastic to me today were some of the worst recordings out there on the grand scale of things.