That sort of thinking is what led to the two accidents.
That is, past performance is not guarantee of future return. The turkey who gets fed and pampered for a thousand days has no evidence that he will ever be wronged, but then one morning he wakes up and his head gets cut off and he is served for Thanksgiving.
Years ago there were questions about the SSME turbopumps failing, damaging the tail of the orbiter badly. The bugs were ironed out, the reliability was increased, but the consequence could not be lessened, and the possibility cannot be completely eliminated. There are other failure modes on the orbiter which have been mitigated but not eliminated as well.
I don't mean to be a Debbie Downer, though; as far as I can see the orbiters are about as safe as any spacecraft can expect to be.
If we had flown Apollo 120 times, who knows what unseen problems might've cropped up. Even in Apollo's short history, there was at least one near-fatal flight accident, two if you count the final Skylab mission in which the crew was almost asphyxiated during entry and splashdown.