This is just to record two old games that my family very much enjoys. Both are a wonderful mix of strategy and the luck inherent to board and card games. The rules are reasonably basic, and the boards can be beautiful.
They are Cribbage and Backgammon. Cribbage is mainly a card game where you play to 121 points, but traditionally you play on a board with holes and pegs to track said points. It can be played with 2, 3, or 4 players (with two variations in the 3-player version) and is a wonderful game to teach someone starting at a young age. It teaches quick decision making, basic addition, and is just a casual, fun game to play at any point.
Backgammon requires a more involved board consisting of chips or tokens (15 per player) and two rows of 12 “slots” for them. Typically these slots are represented as triangles of alternating colors. This game uses dice as well, and is a great strategy game where you typically have many more moves than other board games focused on dice.