There are tons of games that are playable on smartwatches. Apart from that, there are a lot of single watch-games from the past. McDonalds and BurgerKing have also had a lot of watches with games or toys, as well.
Tamagotchi watches came back in 2021, which is one great option.
There are a ton of retro LCD video game watches out there, but they can be pretty pricey.
How can you have a “positive problem” with something? That seems like an oxymoron.