α I'm not sure if this counts, but I have a vague memory of this electronic game/toy—
It was colorful plastic, probably sometime in the 1990s. It had an inner square and an outer square, each with four large round buttons in the corners, numbered 1–4 with dots on the top. The inner buttons were targets, and the outer buttons corresponded to players. Battery-powered, had a speaker. After you started a game, a repetitive music loop would play, as the turn timer, and voice samples would prompt each player to trigger their player button followed by a sequence of target buttons. Depending on the difficulty, the instruction could be a single target, a target and repeat count, or a first target, repeat count, and second target. (“One touch three three times then four!”) You would get points for correctly following the instructions, and lose them for pushing wrong buttons or for failing to complete the sequence before the next measure of the music finished.
I have no idea what it was called, and it'd be neat if someone recognized it…