How big is your dataset? Before you start anything wild, i would look at kernel clustering methods. Or even clustering without kernels. Just cluster your broken and non broken images and calculate some distance (can be done with kernels if it needs to be nonlinear).

Also Nearest neighbor could work pretty well in your case. Just compare your new image to the closest (according to some metric) in your two datasets and bobs your uncle.

If you need a number, look at simple CNNs. you need more training data though for this to work well.