My honda 92 engine stops running when i engage the AC

Your car needs a visual inspection, because, maybe the belt is too tight or the wires touching the ground, or check the AC switch

One possiblity is that the AC is physically frozen and that causes the belt to slip.
Or it could be there is an electrical short in the AC that robs current and causes the spark to stop.
The AC also turns on an idle solenoid to increase RPM, and that could be shorting out or something.
You need to disconnect part of the AC system, one at a time, to determine which part causes the problem, to narrow it down. For example, disconnect the wire to the AC clutch magnet, to stop it from physically engaging.

Is your AC pump turning? if not that couild kill an engine...theere is also a switch-usually on the pump- that controls engine speed when ac is on and pump kicks in, this might be faulty...problem usually confined two these two scenarios......hope this helps