Actually I thought Tattoo You was a great recovery from Emotional Rescue, which only had two good songs. TY in contrast had several great blues numbers. And back in the days when you couldn't hear a song unless they played it on the radio, I remember in the summer of 1981 having it on constantly waiting to hear Start Me Up, which was in the two-hour rotation. That opening chord series was electrifying, as the song was when they used it to open the 1987 tour.
I agree that the Stones are better than the Beatles were, but I thought the White album was very playful. And Revolution (or, on that album, Revolution 1) is one of their best songs.
I actually saw the Rolling Stones during the "Tattoo You" tour - it was the LA Coliseum in October of 1981. Maybe that was their last good album but I really liked "Emotional Rescue".
"Down In The Hole" was probably the best track on that particular album.