There was a bit of a fashion for 'antiquing' or 'distressing' mirrors a few years ago, as shown on various home makeover TV shows, etc. If memory serves all they used to do was sand off bits of the silvering, etc. As Frank points out though, this can not give a truly antique look and the end results were far from attractive in many cases.
It might be interesting to experiment with corrosives on the back paint & silvering to see what type of effects could be achieved, though of course you'd have to be very careful to determine which metal has been used to silver the back and take all relevant safety precautions.
Steven