If we take AAIB reports since 2000 for both GA and commercial there were a total of 329 incidents.
However the 66 GA student training flights (there were 3 commercial "student" accidents) one assumes that they are flying for fun as a primary motivation so that's 20% of accidents automation is unlikely to capture.
There were 3 commercial "filming wire strikes" again unlikely to be captured by automation, likewise the 8 events where the machine ran out of fuel (excuse the crude term - inc. fuel mismanagement like (say) G-DPPH). There are 2 bird strikes, 3 where slings/sling loads hit the machine, 4 carb ice, 4 lightning strikes and 74 mechanical failures. So thats almost half of accidents since 2000 unlikely to be captured by automation.