My votes:
Bridges to Babylon (my fave studio Stones disc from the past 20 years, thought I'd show it some love)
Goat's Head Soup
It's Only Rock 'n Roll
Black and Blue
the (later?) albums don't exist in my world
Obviously I've heard Some Girls you would have to be living under a rock not to. I like a few songs from that album, but besides that Emotional Resue and Tatoo You are subpar with maybe one good song. After that the next three over heard and they do nothing for me. I've heard very little of the last three but the stones lost me long ago. I was only a fan of their 60's stuff until a few years ago when I rechecked out Goat's Head soup and It's Only Rock 'n' Roll which I now like both.Give the later ones a try. Admittedly I don't like "Uhdercover" at all myself. Otherwise though I rank only one song, "Hand of Fate", from your three picks up there with this list of tunes from their later albums.
Miss You
Beast of Burden
Far Away Eyes
Shattered
She's So Cold
Start Me Up
One Hit (To the Body)
Harlem Shuffle
Mixed Emotions
Blinded by Love
Almost Hear You Sigh
Love Is Strong
Out of Tears
Blinded by Rainbows