How many times has the starship Enterprise been destroyed? This includes the NX-01 as well as any of the others we have seen, starting with the NCC-1701, without any letters suffixed on the end or with any letters suffixed to it. (In other words, yes, NCC-1701-A, B, C....)
Along with that, how many times were off screen and how many were on screen? (And, yes, counted individually per each ship named Enterprise!)
For example, we know the Enterprise-C was destroyed in Yesterday's Enterprise when it gets sent back in time, but we don't see it, so that's off screen. This answer provides a good start in answering this question, since it gives counts for the NCC-1701-D, however, we know that in Cause and Effect, the Enterprise was destroyed more than the number of times we witnessed it exploding, since the time loop was repeated a number of times.
This would include all the TV shows, TOS movies, TNG movies, and reboot movies.