Rings

From Memory Alpha, the free Star Trek reference

Rings was a 19th century game where the goal was to land rings on pegs attached to a board.

Sullivan's pub in Fair Haven had a board set up on a wall. Often people would be seen playing this game. Seven of Nine showed off her hand-eye coordination by landing all of her rings on the middle peg. (VOY: "Fair Haven", "Spirit Folk")

The 602 Club featured a similar board. (ENT: "First Flight")