what I like about the Stones' chords is that while they're simple, the 2 guitars/bass interplay creates some exciting harmonies... same as with Jimmy Page, really. His stuff is pretty simple too, the exotic tunings he uses provide him with strange chord voicings that aren't that hard to finger
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With the overdubs he goes into even wilder places, so it really pisses me off when people put him down as a blues copy cat.
But back to the Stones, I think Memory Motel, the Keef vox part has a nice chord structure, nothing complicated there, F, C & B-flat, but it's use of different root notes makes it interesting.
Also even with the blues roots they have, their chord progressions aren't always the most obvious ones.