Tap burner, tap disentegrator, hole popper, whatever term you want to use, this machine does a good job without destroying the part. Some machine shops have them. The shop I work at has one, we call it "Gary". Glad I'm not him.
If the tap has straight flutes and there is a clear passage through, a wire edm can cut it out. The shop I work at has this too, but no personal name.
A mill setup with a small carbide burr or diamond burr.