There were a few threads on this but they never made it anywhere. 5 minutes with Google image search and I found a locking latch that appears to be an exact match. These assemblies can be purchased for about $15-20 on eBay. The one you want is for a 02-06 Camry. You do NOT want the Lexus one. The Lexus latch has a different lock cylinder keyed for a special sidewinder style key that is difficult to cut a key for. Alot of eBay sellers do not know which version they actually have. I'll show you how to tell the difference. You can see the locking cylinder on the Lexus version has tabs near the front face on either side.
Most of these locking latches do not come with a key so you will have to take it to a locksmith and either remove the locking cylinder and re-key it to your FJ's ignition key, or have a new key made to match the new lock. Keep in mind you will have to turn off your FJ if it is running and you want access to the locked glovebox so having a separate key stashed away may be ideal.
1) Open the glovebox and remove the two phillips head screws that hold the latch on. Squeeze the sides on the back of the box to allow you to tilt the box down for easier access with a screwdriver. (as if removing the box to access the cabin air filter)
2) With the latch removed, compare to the new Camry one. Notice the back has 3 holes. Only 2 have a metal threaded insert depending on how lucky you get they most likely will not be the matching ones for your FJ. No problem, just remove the plastic back of your FJ latch and install it on the locking latch. Locate the plastic hinges and insert a flat screwdriver to pop them free.
At this point you can either continue to take apart and remove the locking cylinder to take to a locksmith to re-key. Look up some youtube videos if you want to attempt the DIY. Otherwise, continue to put it back together if you want a separate key.
3) Transfer the FJ back half to the Camry locking front half by pushing back in the pins. Make sure the small torsion spring is still aligned.
4) Take it to a locksmith and get a key matched. Bolt it back in with the original screws.
You're done! I'm certainly not a locksmith, I've learned some from YT videos doing this mod myself. Before I knew the difference I accidentally purchased the Lexus version and my locksmith was unable to do anything with it. I'm waiting on the Camry latch to take it back to the locksmith and get it re-keyed. Let me know if you get it done yourself!
The black color is not a 100% match but its good enough for me considering you can't see it anyway.