I don't think there has ever been a Rolling Stones song at no 1 at christmas in the UK. But notable Christmas no 1 songs include:

Bohemian Rhapsody by Queen
I Will Always Love You by Whitney Houston
Do They Know Its Christmas by Band Aid
Brick in the Wall by Pink Floyd

And 4 various Beatles songs

Bob The Builder
Benny Hill The Fastest Milkcart in the West.

I do like the Stones but they aren't the only band I like.