Here are the
www.boardgamegeek.com links to the descriptions of the games in the mini-poll (number in parenthesis is the rank out of a possible 2179):
1. Risk (1814) : http://www.boardgamegeek.com/game/181
2. Mare Nostrum (387) : http://www.boardgamegeek.com/game/3931
3. Settlers of Catan (8) : http://www.boardgamegeek.com/game/13
4. Acquire (38) : http://www.boardgamegeek.com/game/5
5. Chess (211) : http://www.boardgamegeek.com/game/171
6. El Grande (4) : http://www.boardgamegeek.com/game/93
7. Pinochle (496) : http://www.boardgamegeek.com/game/4583
8. Puerto Rico (1) : http://www.boardgamegeek.com/game/3076
9. Pirate's Cove (250) : http://www.boardgamegeek.com/game/2987
10. Other*
* I own over 65 games, not all of them worth playing. But some of the multi-player titles may be worth taking a look at if you are interested: Axis and Allies (first ed.), Carcassone and many expansions, Cartagena, Castle Risk, Civilization, Conquest of the Empire, Edel Stein and Reich, Tigris and Euphrates, File 13, Formula De, Java, John Prado's Third Reich, Krelim, Lowenherz, Merchant of Venus, Mexica, Princes of Florence, Quiddler, Settlers of Catan variants like Seafarers, Shogun, Ticket to Ride, Tikal, Traders of Genoa.
Here's a list of the Top 10 All Time Games as rated by the thousands of players on the Geek (boldface I own):
1. Puerto Rico
2. Tigris and Euphrats
3. The Princes of Florence
4. El Grande
5. War of the Ring
6. Power Grid
7. Memoir '44
8. Settlers of Catan
9. Wallenstein
10. 7 Ages
All of the top four games are "gamer's games", i.e. they require some thinking. Incredibly rewarding titles, they have it all: player interaction, some minor chance elements, variable set-up, anyone can win, fantastic components, everyone's involved all game (i.e. no Risk or Monopoly-style elimination). Anyone interested in these?