Reverse lights do not work despite changing bulbs and checking fuse

of course changing a brake pedal switch will not help in a reversing light problem
they are two totally different circuits
check for a damaged wire at the reverse light switch or bulb holder for the reversing bulbs for a dead short
as for the rest check the IGN fuse under the bonnet

It could be the switch at the reverse gear is burnt out or you have a broken wire somewhere. The broken wire situation is not fun to solve. You'll need to pinpoint if you are getting power the length of the wire harness.

check switch wire on gearbox, can fall off? or fuse, and bulbs, I have had 2 bulbs go at once? so could be as simple as changing the bulbs

if fuse and bulbs are fine then it's your reverse switch that's not working. it is located at the transmission, change it. but before changing you should make sure that the wires are not cut or faulty.

feed supply problem somewhere ?but where ? try checking the wiring loom at the rear or as its called in american "pigs tails"

if you changed the right fuse then you could have a bad neutral switch not working to turn on the reverse lights or power or ground is lost going to the bulbs either a bad wire or bad sockets this will have to be checked out with a test light.

Have a look for a reverse switch on the gear box, it may have a wire off or the switch is not working. Check for power at the lights when in reverse.

did you test for power to the bulbs, possibly a bad ground connection for the bulbs, or the selector lever is broken reverse sensor is usually on the trans

2004 silverado 2500hd 4x4 reverse lights not working checked fuse and bulbs what else could it be ?

checks contacts