In the absence of @Fox92 I'll take up the mantle.
The Beatles became polished, due to producers. The Stones really started as a blues covers band.
I find it hard to separate the two if I'm honest but the Beatles entire recording career and development took the same time as it took the Stone Roses and Oasis to release about two albums, 7 years, start to finish
From the teen anthem 'I wanna hold your hand' to 'In my life' to 'I am the Walrus' to 'Eleanor Rigby' to A day in the life' in about 4 years.
Don't get me wrong, Satisfaction, Sympathy for the Devil, Tumbling Dice, Heartbreaker, Under my thumb and too many others to mention are all great, great tracks but the Beatles stand above them for me.