This list is a personal opinion. Therefore, any songs that were big and are low, doesn't mean they aren't famous, it means I don't enjoy them as much. PYN Below if you want to be tagged.
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Title: Jumpin' Jack Flash
Album: Through the Past, Darkly (Big Hits Vol. 2)
Year: 1968
As you can see, 1968-1971, was the peak of the stones IMO, with 4/5 of my top songs being from that period. This may be the greatest guitar riff of all time, I could just listen to the first 10 seconds over and over again, and be happy to die in that moment. It's almost "beautiful".
The ending is also extraordinary, with it finishing off with the band members repeating the same phrase over and over again , with the hook/riff in the background. Jagger obviously dominates the song with his vocals, and deserves its spot at #5 IMO. The name "Jumpin' Jack Flash" will not be forgotten, and his story revealed in the song's lyrics is amazing. Very fucking fast paced.