You just invented https://en.wikipedia.org/wiki/Cirrus_Airframe_Parachute_Syst...
even though i don't know how that would work on a commercial sized plane.
Commercial air travel is very safe. The few crashes that do occur usually involve flight into terrain, mid-air collisions, or structural break up. Parachutes are ineffective for those failure modes. The parachute on a Cirrus mainly protects against total engine or flight control system failures, which aren't a real concern on airliners.