The Rolling Stones Bridges to Babylon Tour '97-98: On the Bridges to Babylon tour, the Rolling Stones have some new tunes that assist in the rocking-the-house quota (Flip the Switch and Saint of Me ratchet it up a full notch past the expected tunes like Satisfaction, Start Me Up, and Honkey Tonk Woman). And like the majority of their arena tour performances, they have the cool knack of going out into the middle of the arena midway through and putting on a show for those in the back.