There’s a few variations, but the one I’m most familiar with is like go fish, except you don’t have to be honest if you have the card someone else asks for.

The version of this I'm used to involved starting at 2 and counting up, and having to claim and play some number of that card whether you have it or not. If another player thinks it's a bluff they call you out and if you were bluffing you have to take the discard pile, otherwise they have to take the discard pile. First player out of cards wins. So first player has to play 2s, second player has to play 3s, etc.

I’ve played versions done with trivia, though where you have to determine if the answer given is real or bullshit (which would be more likely to turn into a game show).

That's basically what the game show is - a few different games that are each a variation on a quiz show in which the expectation is that players can lie and other players have to call them out on it. Catching a lie benefits the accuser and penalizes the liar, false accusations penalize the accuser.