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And plenty to codeshares available operated by AA.
What is the purpose of wanting these flights? In all cases (for USA domestic, so does not apply to the CX example above), the non-AA flights cannot be booked in isolation and need to be part of an international itinerary. In most cases, such as QF's 107/108 LAX-JFK-LAX service, the flight can only be booked if you arrive/depart USA on the same carrier on the same itinerary.