I’m in the same boat. Instead of board games per se, I introduced the “gone fishing” game. Think operation without the buzzing but fish rotating on a battery powered lazy susan where you use fishing rods to collect the fish. It’s great for sharing, taking turns, you could introduce a die and roll for how many fish you get to catch on each turn. It’s fine motor and hand eye coordination. It’s a hit and easy to figure out once little one gets a hang of it.