It's a great question because it's so difficult:

Lennon/McCartney were the greatest songwriting team in R&R history. I own the Complete Beatles sheet music for guitar, and everytime I turn a page, another great song jumps off it. Not one of their albums was devoid of a great song, and three--Rubber Soul, Revolver and Help!--were absolute five-star, with lots of others just behind them. But Beatles quit touring in '66, and did not leave us with any really exciting live albums. I had one from Shea Stadium--good but not great.

Where Beatles were a great studio/pop group, Stones were a brilliant blues/live recording band. Their live work--particularly Get Your Ya-Yas Out and Love You Live--earned them the sobriquet, "the greatest R&R band in the world." Sometimes they almost were. Check out the movie, "Gimme Shelter," and you see why. Made plenty of good studio albums too, especially "Let It Bleed." But they didn't produce anywhere near as many great songs as the Beatles.