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Pinna-Brelstaff

If you move your head back and forth as you focus on the cross, the rings will appear to rotate even though they stay still.  They appear to rotate in opposite directions.

ReferenceReferences

[1] B. Pinna and G. J. Brelstaff, "A new visual illusion of relative motion," in Vision Research, vol. 40, pp. 2091–2096, 2000.
[2] R. Gurnsey, S. L. Sally, C. Potechin, and S. Mancini, "Optimising the Pinna-Brelstaff illusion", in Perception, vol. 31, pp. 1275–1280, 2002.