You see this in India at every temple that was raided by Muslims. The logic being that breaking the nose would make the "idol" unfit for worship.
There probably are a lot of examples in the North (they are now part of some "secular" Mosque complex), but it's very apparent in some of the Hoysala temples that were partially/fully destroyed (esp. Halebidu), and in Vijayanagara. It's really quite sad. Then again, I suppose this adequately reflects India's state as a civilization... so SNAFU.