If you replace the fuse, start the car, place into reverse and keep the brake applied without allowing the car to move, do the reverse lights work?
If they do, when you press the gas pedal the driveline will twist slightly in the frame which may be just enough to cause a "short to ground" and pop the fuse in an electrical harness.
I would inspect the harness from the transmission up to the pcm looking for a worn area that has exposed the wire. They run close to the exhaust system and other members have had issues when they are not secured correctly.