A legacy game is a variant of tabletop board games in which the game itself is designed, through various mechanics, to change permanently over the course of a series of sessions.
Two stickers - an island hex and a cross marker - added permanently to the board in a game of SeaFall. Such additions are prevalent in legacy-style games.
Risk Legacy
Tabletop games or tabletops are games that are normally played on a table or other flat surface, such as board games, card games, dice games, miniature wargames, or tile-based games.
Chess and its relatives have been popular for centuries