I don't think there needs to be any analog. It is similar to, but simpler than, Simon. Just a state machine that gets inputs from the pieces, and some of the states output square waves for the tones.
The info changes from year to year, but one year they mentioned that custom work was about 1/3 of their revenue. And they mention the different industries that used their custom chips, including entertainment and toys.
They moved into networking chips and got bought by Microchip a few years ago.