- Mid-air diversions: several Hawaiian Airlines flights forced to divert to different airports due to mechanical problems. One example is Flight 383 from Honolulu to Kauai and had to return to Honolulu shortly after takeoff due to unspecified issues - https://liveandletsfly.com/hawaiian-airlines-lax-diversion/
QANTAS have had 14 fatal accidents over their history.
The most common claim is that they have never suffered a jet hull loss, which is technically correct as they paid over $100 million to repair 747 VH-OJH instead of letting it be written-off: