This is most certainly a fuel problem , specifically your injectors. They leak, or get clogged. You randomness on whether it will start /stall, start fine, is depending on which cylinder valve happens to be open/ closed at the time you shut off the engine.

Try a bottle of redline fuel additive ( this is the ONLY stuff that works) if that does not work, replace the injectors and seals.

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Eugene

10 E63 AMG
93 300te 4matic
07 BMW X3
14 Ford F-150 Fx2