Which airplane types never crashed?
As mentioned in this answer: there are seven commercial aircraft types with zero hull loss accidents:


B717
CRJ700, CRJ900, and CRJ1000
A380
B787
B747-8
A350
C-series
A320Neo


Only the first two types have logged more than 1 million departures. The remaining ones are relatively recent types and are still working on statistical significance; especially the long haul aircraft fleet takes a long time to accumulate 1 million departures at 1-2 flights per day per aircraft.