I owned and loved some of these games when I was a kid. There are teardowns in youtube, and internally they all look alike: a board with protruding RTC crystal, one electrolytic, maybe an LED and some passives. In the center, a rectangular hole for a CPU, marked according to the game (PP-22 seems to be Popeye:
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OC-22 is Octopus
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watch both videos at the 1:00 minute mark.) The chip is marked Nintendo, probably custom built?
These games must be easy to emulate: they are glorified LED flashers, a simple state machine that takes a few inputs and turns on different LCD sections based on its state, emitting a beep here and there. The more complex part is probably the clock. The only doubt emulating these, I think, is what RNG they used, if any. Most of the CPU pins must be digital outputs to directly control the LCD. I don't know about the state of ROM tech in the early 80's: maybe these simple I/O intensive chips are all the same, programmed with a different one-shot ROM at the factory, and then marked. Or maybe they are slight variations of the same chip at the silicon level. I don't think they bothered to solder a separate ROM chip somewhere.
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Oh, well, after writing this I saw SeanB's answer. So the ROM tech is mask ROM, and the chip some generic 8-bit Intel clone. I was just speculating based on the teardowns.