Boardgame
A board game is a game that involves counters or pieces moved or placed on a pre-marked surface or "board", according to a set of rules. Games can be based on pure strategy, chance (e.g. rolling dice), or a mixture of the two, and usually have a goal that a player aims to achieve. Early board games represented a battle between two armies, and most current board games are still based on defeating opposing players in terms of counters, winning position, or accrual of points (often expressed as in-game currency).
Bordgames are subgenre of strategy video games. Read the full article at the Wikipedia.

Deer Portal
Deer Portal is a open source (free as a speech, free as a beer) hybrid game which utilize board and card games mechanisms.
Genre: Boardgame, Card game, Action 
Veraball
A "roll the ball" game. Collect coins, then reach the goal as fast as possible, without falling out of the level.
Genre: Boardgame, Action 
JCloisterZone
JCloisterZone is a Java implementation of a popular board game Carcassonne.
Genre: Boardgame, Strategy 
Armello
Release (1 Sep 2015)Armello is a swashbuckling adventure that combines RPG elements with the strategic play of card and board games, creating a personal,...
Genre: Boardgame, Turn-based, Strategy 
Aualé: The Game of Mancala
1.1.0 (14 Nov 2015)Oware is a strategy game for two players with great tradition around the world.
Genre: Boardgame, Strategy 
Jogun
Alpha (7 Jun 2014)Jogun is a clone of the game Shogun written in Java.
Genre: Boardgame, Turn-based, Strategy 
Galois
0.5 (16 Nov 2017)Galois is a computer game of the "falling blocks" type, but with unique features.
Genre: Arcade, Boardgame, Puzzle 
Elder Sign: Omens
(31 Oct 2011)Elder Sign: Omens is a digital version of the popular board game by Fantasy Flight Games.
Genre: Boardgame, Role-playing 
GPCSlots2
0.4.5b (13 Mar 2012)GPC-Slots2 is a free/opensource casino text-console game with 5 slot machines, 3 roulette tables including russian roulette, 2 dice...
Genre: Arcade, Boardgame, Simulation 
Neocolonialism
1.0.0 (4 Nov 2013)Buy votes. Extract wealth. Exploit the working class.
Genre: Boardgame, Turn-based, Strategy, Simulation 
Mine Base: Chess & Checkers
by CodeRunners
(29 Mar 2013)
Chess & Checkers like you have never seen before! Mine Base combines the traditional board games you already know with videogame-like features.
Genre: Boardgame, Strategy