At least two of the first generation jets did not use engine bleed air in the cabin. The B.707 and DC-8 utilized turbo-compressors to supply cabin air. Engine bleed air of course powered them but they took in ambient air, compressed it and fed it to the environmental air conditioning system. I do not remember ever having any contaminated cabin air reports from those aircraft.
I believe the B787 uses independent compressors (electrically driven?) to supply air for the cabin which in turn should eliminate any contamination. Seems like the way to go as turbo engine oils are a witches brew of truly nasty stuff. Bad enough on the techies hands when maintaining the engine; a lot worse inhaling it after it has been super-heated.