Quoted from MarkG:Do you mean that the cam has notch that lets the switch stack drop when the motor stops, then a peak that forces the switch stack up the next time the motor stops, and then alternating like that each time the motor stops? That would be uncommon.
unless it's a bingo. Almost every one of those had an alternator cam that is exactly as you describe
the score motor running when the start relay is tripped is correct. The player up unit should reset when score motor 1C pulses closed and that causes the trip bank to reset when SCM 4B pulses closed.
if the trip bank coil isn't firing and you've checked all the switches in the circuit, the fuse holder/clips could be the problem. If the fuse is loose, remove it and squeeze/bend in the clips. If they break, they weren't reliable anyway and the fuse holder needs replacing.
if the start relay is tripping without closing the replay button switch or coin switch, I'd probably disconnect the coin switch and jumper the replay unit "0" switch so the game is on free play and see if the problem goes away. If not and the replay switch is definitely not able to arc/close, you've got the joy of hunting for an intermittent short or you have a mechanical issue with the start relay armature not holding up the switch assembly reliably.
also, IF the trip bank has wing nuts on it that allow you to loosen/flip the entire switch bar back, make sure the bar is seated all the way into the bracket. I doubt a 1963 bally has the removable bar tho.
fwiw, it's usually easiest to unscrew the switch stacks on the early bally trip banks if you need to really get at the contacts or get an adjuster in to an adjacent stack. The screws are pretty soft and a size not easily found anymore, so don't gorilla tighten the stacks back on.