My 1993 Lexus GS300 will not start because it is flooding with gas.
I am able to restart after letting it sit for a long while. It runs fine for about 30 secs, then starts to miss, then dies and I am unable to start it again until it sits for a day or two. It throws a ½ in spark at the distributor, and a vicious spark at the plug. When it dies, I pull a plug and it is wet. When I look into the cylinder there is so much liquid gasoline sitting on top of the piston that I am able to suck it up with a syringe. Any suggestions?

you need to blow all that liquid out....to do that you need a very very high compressed air, go to a mechanic shop you know and ask them to do it for you...if you cant find a air compressor.....take the plugs out and just keep shooting air and it will take most of the liquid, get some cheap new plugs put them in .....then start the car and do some hard driving.....that should do it.

If all plugs are wet, then something is commanding the rich condition possibly. If it's just one cylinder's plug that is wet, then that injector is faulty. That much gasoline is washing the cylinder walls dry and you'll lose compression. That may also be a problem.
Take all the plugs out and crank the engine for a bit, then squirt oil into each cylinder, maybe a teaspoon or two. Install dry plugs and attempt to start it.
Once it starts the cylinder walls will get oil on them, but consider too that the gasoline has contaminated the oil, so change that too after the fault is found and corrected.

Cold start injector stuck in open loop mode?