Electrical troubleshooting 101:

There's 2 kinds of problems. Open circuits & short circuits. An open circuit is like when a wire is broken or disconnected, but not touching anything. So it acts like it's switched off.

Yours sounds like a short circuit. For example some insulation is worn thru, and the bare metal in a wire is touching (shorting) any metal stuff in the car. Trouble is, it could be anywhere in that circuit and you've got to find it. Once you find it you can fix it with electical tape.

You've already got it narrowed down to the lights. Find a circuit drawing for your lights, locate the wiring harnesses & plugs that are in that circuit. You can unplug parts of the circuit & try it. If you unplug (for example) the front-right lights, and it doesn't blow the fuse when you turn it on, then you've narrowed down the area that you have to look. If you've got a multi-meter (DMM) you can use it to measure continuity to ground instead of turning on your lights (& blowing fuses) again & again.

Eventually you are looking for a wire that's got broken insulation & it's touching metal. Done any work on the car lately? Look around for a wire that got pinched when you put it back together. Or a wire that's just dangling, & finally it starts touching some metal...