I went to replace the bulbs in the lamp in my front yard. But

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Here's the one side with the screw undamaged.

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And here's the broke side.

>>1220832
Exactly what is the screw?
Bolt, machine screw, tapper etc. Post a picture of the one you got out.
If its any kind of cross head screw I would get a right handed (is that right? The opposite to normal) drill bit that's slightly smaller than the minor diameter (the troughs or valleys of the thread) and drill it out. Use the middle of the cross head to centre it and go slow. As it drills out it will loosen and hopefully catch and just unscrew. Otherwise then its a good start for an easy out screw remover.

Obviously replace with a better quality screw. Really you should do this with anything outside (or inside!) if you doubt the quality.

Remove all the screws from the top. Remove the glass panes and bulb. Use some sort of pliers to remove the bolt and screw from the inside. Replace bottom screw (its either 6-32 or 8-32 machine screw)

>>1220832
See that pointy top bit. Unscrew it.
Take the decorative doodad off, and the gasket.
Unscrew the nut below that.
Take the top off.
Replace bulb.

>>1220922
Although it looks like there might be a bolt on the top also.. But I can't tell from that pic.

>>1220833
>>1220834
Apply some epoxy to a screwdriver and wait for it to harden on the screw. Also, paint your shit a uniform color.