The Settlers of Catan
For 3-4 players.
Duration of play: 60 minutes.

"In The Settlers of Catan, players try to be the dominant force on the island of Catan by building settlements, cities, and roads. On each turn dice are rolled to determine what resources the island produces. Players collect these resources (cards) - wood, grain, brick, sheep, or stone - to build up their civilizations to get to 10 victory points and win the game.

Setup includes randomly placing large hexagonal tiles (each showing a resource or the desert) in a honeycomb shape and surrounding them with water tiles, some of which contain ports of exchange. Number disks, which will correspond to die rolls (two 6-sided dice are used), are placed on each resource tile. Each player is given two settlements (think, houses) and roads (sticks) which are, in turn, placed on intersections and borders of the resource tiles. Players collect a hand of resource cards based on which hex tiles their last-placed house is adjacent to. A robber pawn is placed on the desert tile.

A turn consists of possibly playing a development card, rolling the dice, everyone (perhaps) collecting resource cards based on the roll and position of houses (or upgraded cities - think, hotels) unless a 7 is rolled, turning in resource cards (if possible and desired) for improvements, trading cards at a port, and trading resource cards with other players. If a 7 is rolled, the active player moves the robber to a new hex tile and steals resource cards from other players who have built structures adjacent to that tile.

Points are accumulated by building settlements and cities, having the longest road and the largest army (from some of the development cards), and gathering certain development cards that simply award victory points. When a player has gathered 10 points (some of which may be held in secret), he announces his total and claims the win.

The Settlers of Catan has won multiple awards and is one of the most popular games in recent history due to its amazing ability to appeal to experienced gamers as well as those new to the hobby."- Boardgame Geek

Puerto Rico Call number: GM 021 
For 3-5 players.
Duration of play: 90-150 minutes.
Players compete to ship the most goods, but a variety of production buildings can be purchased with money earned from selling crops, allowing each player to gain an edge over their competition.

Cosmic encounter Call number: GM 028
For 3-5 players.
Duration of play: 1-2 hours.
Each player is the leader of an alien race. Object of game is to establish colonies in other players' planetary systems. Game is won by the first player to have 5 colonies outside their own home system.

The heavens of Olympus Call number: GM 032
For 3-5 players.
Duration of play: 60 to 90 minutes.
Zeus, the greatest of the gods, has decided that he wants to construct a universe to gaze upon from high atop Mount Olympus. He has enlisted the help of several unknown gods to do this for him -- and they have 5 days to finish the job. As a reward, Zeus has decided that the god who performs the best while making this universe will take his or her place among the greater gods and be admitted into Mount Olympus.

Spin monkeys Call number: GM 033
For 2-8 players.
Duration of play: 45 minutes.
You are a monkey in the jungle when one day a wayward carnival makes a stop. You and your fellow monkeys jump in the bumper cards and away you go. You have no idea why there is fruit all over the arena floor, but you aim to grab as much of it for yourself as possible.

Those pesky garden gnomes Call number: GM 034
For 3-5 players.
Duration of play: 45 minutes.
This is a trick-taking card game with a twist or two. In every hand, each player has her/[his] own secret goal -- and these change randomly with each hand. The closer you come to your goal, the better your score, but watch out for those mischievous gnomes, they'll show up just when you don't want them.

Boardgame Geek
A great resource for information about board games.