Can you tell me the voltage of your 'white to white' wires going from that transformer board to the solenoid when the claw is moving up and returning home after grabbing a plush?
Wow... very impressive. I'm glad you were able to get it to work, mostly. I'll check it for you within the next day or so and let you know. Have you checked the voltage at the point where the black telephone handset style claw wire connects to the coil in the claw cylinder? That wire may have a break in it.
Update on my situation
I ordered a complete set of boards, since I had 3 problems with my machine... First being a missing potentiometer, which made the claw insufficient in strength even at highest setting on the one existing pot. I swapped the claw board and now have much greater flexibility.
Second and third were intermittent issues were with right and left movement relays. Right one occasionally had hesitation after pressing the button, and left one sometimes wouldn't work at all. Replacing the board took care of both issues so far. I may consider sending the original board for repair down the road.
I have a need to replace the CPU board at this time. Unfortunately, the one I received doesn't have socketed chips, but I guess that's not a huge deal, since my original board has them and is working fine. Interestingly enough the non-socketed CPU board is revision 2, looks slightly different, and has an extra wire soldered to one of its corners. I'm going to email to find out what that is for.