I'll give the Stones up to Tattoo You. That was their last good studio album, and mostly because it came out on the heels of two lousy studio albums preceding it where the Stones thought to try their hands at disco.
They haven't recorded anything worth a damn since. Keith Richards barely remembers how to even play their songs on the guitar (and it's been this way for the past 30+ years).
Jimmy actually did play on the Stones “One Hit To The Body”.