Here's a little vaccine death data from the UK, where their NHS gets very complete data:
to August 2021 ... there were 9 deaths in the UK that involved the vaccine (meaning the vaccine contributed to the death), of which 5 had the vaccine as the underlying cause
Also
The Yellow Card reporting scheme has reported that between 9 December 2020 and 8 September 2021 there were 1,645 deaths where the person died shortly after receiving one of the coronavirus vaccines.
https://blog.ons.gov.uk/2021/10/04/how-many-people-have-died-as-a-result-of-a-covid-19-vaccine/
At present, 151,000,000 doses of vaccine have been administered in the UK; lets say there were 100M at the time of those numbers. So, doing the math,
9 known vaccine caused deaths per 100M
1645 deaths
after vaccine per 100M
1,000,000 deaths among unvaccinated per 100M
That last number is the established 1% Covid death rate. This proves, once again, there is no 100% safe path in life, but it is far far safer to face Covid fully vaccinated rather than unprotected.
tl;dr: for every vaccine caused death, somewhere between 600 and 10,000 would die of Covid, based on these numbers.
And, just for yuks, lets assume the numbers are off by a factor of TEN. The vaccines STILL come out far safer!!