And to be super pedant, the C-130 is considered by many to be a "tactical" aircraft. At least a tactical airlifter
Yes I know you meant tactical jets, and are talking about "managed". Indeed there are few examples of USN Navy buying USAF aircraft.
Perhaps the FJ-2 Fury is the closest (and only) Air Force jet fighter making the transition to a US Navy carrier capable jet fighter, as it was pretty much a navalized F-86E. Not to be confused with the early straight wing Fury which was Navy from the drawing board.
Two more great points!! But to be hyper pedant, in USN Tacair refers to tactical strike aircraft that operate from carriers, they may or may not be jet powered. The A-1 for example was not. And while the FJ-2 was a navalized F-86, NAVAIR managed that program and all the FJ-2s ended up going to land based USMC squadrons. USN didn't like its low speed handling characteristics behind the boat. The FJ-3 was a further improvement with a Brit engine (license built Saphire) and tweaked wing to improve handling, but while they went to USN squadrons, USN didn't like them either. Although an FJ-3 was the first aircraft to board USN's new super carrier (Forrestal) The definitive version was the FJ-4, but that was an extensive redesign that (like the Navy F-35) had an entirely different wing and the Wright/Saphire engine. The B model was nuclear capable and was USN's primary nuclear delivery platform for some time.
And perhaps the FJ experience is where the F-35 is headed. The FJ started out as a USAF airplane that Navair completely took over and that Navair changed extensively relative to the F-86. By the time Navair was done with it, the "Navy Sabre" had almost nothing in common with the USAF Sabre and flew a completely different mission than USAF Sabres. The only similarity was the general shape/configuration.