The oblique wing concept originated in 1944 Nazi Germany. Dr. Richard Vogt sketched the Blohm & Voss P.202 with a single-piece wing that swiveled on top of the fuselage.
Messerschmitt also sketched the P.1009-01 biplane. The top wing swivelled one way, while the bottom wing swivelled in the opposite direction. Neither of these "Napkin Waffe" concepts flew off the drawing board.
After WW2, Dr. Richard Vogt moved to the USA under the Paperclip Program and he shared his concept with American designers.
NASA contracted Burt Rutan to build a manned, sub-scale AD-1 prototype. The AD-1 flew multiple times but exhibited roll-coupling problems.
The F-8 oblique wing prototype was never built.
DARPA and NASA commissioned a couple more oblique wing programs (e.g. AFW flying wing airliner in 1991), but none of them progressed beyond wind-tunnel testing.
The only production application of oblique wing is the Bell-Boeing CV-22 Osprey tilt-rotor, but Ospreys cannot change wing angle in flight. CV-22 wings only swivel to reduce deck foot print onboard aircraft carriers.