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"My black rims are any colour"

Well it certainly is not a tautological fail. Tautology is using redundant language. Neither 'black' nor 'colour' are redundant in the sentence, although the syntax is incorrect. It is just that you have fallen on the side of the black is not a colour debate. There are an equal and opposite opinion that says it is a colour that emits no light in the visible part of the spectrum.

If you are going to abuse someone its good to be sure of your ground.

A tautology would be to say my black rims are black, but in this case he described one object as having two mutually exclusive properties. So I guess I was looking for pretty much the opposite of "tautology".

Regardless of misusing the word "tautology", my point remains: saying "my black rims are any colour" is no more correct than saying "my blue car is pink" or "that dry towel is wet".