Dominion is a deck builder game by Donald X. Vaccarino that has now spawned multiple expansions.

Die Siedler Von Catan or Catan for short is a modern classic game where you collect and trade resources to build up the island of Catan.

United is the simulation of a football league.

The game was invented by Englishman Alan Parr in the 1970s and quickly spread in the play by mail game scene. The game is still being played today but is now often played via a turn-by-turn e-mail system. (PBeM). For more see here.

here was a version of United published years later called Fireside Football.

Tzolkin: The Mayan Calendar introduced a new game mechanism: dynamic worker placement. Players representing different Mayan tribes place their workers on giant connected gears, and as the gears rotate they take the workers to different action spots.

Tzolk’in The Mayan Calendar BGG Link.

You are the leader of one of the 7 great cities of the Ancient World. Gather resources, develop commercial routes, and affirm your military supremacy. Build your city and erect an architectural wonder which will transcend future times. 7 Wonders DGG Link.

Race for the Galaxy BGG Link

Players compete to build the best outpost. They must build and staff factories to produce resources, which are then used to build more factories, and purchase any of 13 outpost improvements that give different advantages (ranging from production technologies, resource storage, and increased population maximums to resource producing stations). 

Outpost BGG Link.

Midnight Party goes by many names including Escape from the Hidden Castle, Hugo: Das Schlossgespenst, Ghost Party and Midnight Party.

Although billed as a children’s game, it is actually quite enjoyable by adults as a light, fun game. Each player controls a number of guests at a party, with the number of guests dependent on the number of players. These guests start the round in the spaces of the gallery on the game board, one guest per space; this initial placement is a large part of a player’s strategy. BGG Link.

In Acquire, each player strategically invests in businesses, trying to retain a majority of stock. As the businesses grow with tile placements, they also start merging, giving the majority stockholders of the acquired business sizable bonuses, which can then be used to reinvest into other chains. All of the investors in the acquired company can then cash in their stocks for current value or trade them 2-for-1 for shares of the newer, larger business. The game is a race to acquire the greatest wealth. Acquire BGG Link.

In ‘Puerto Rico’, players assume the roles of colonial governors on the island of Puerto Rico. The aim of the game is to amass victory points by shipping goods to Europe or by constructing buildings. Puerto Rico BGG Link.

ID (Intimate Diplomacy) is a two-player variant.  Each player controls one country (his “Home” country) for the entire game.  The remaining five countries are known as “mercenaries”. See here for more details.