Squared tiles - Karuba (owns).
No reason to not own Micropul - it's Print and Play!
I own Alhambra, bought the Big Box some time ago. It's simple and fun, I'd put it on the Ticket to Ride kind of suitable for all game. With all the modules it has great replayability. Game of the year if I'm not wrong, it's a safe bet Also recently I tried "LOBO" (Wolf). Not sure if it has an english edition but here you have a link to it: http://zacatrus.es/lobo.html
Squared tileshttps://boardgamegeek.com/boardgame/42/tigris-euphratesHexagonal tileshttps://boardgamegeek.com/boardgame/72125/eclipsehttps://boardgamegeek.com/boardgame/12493/twilight-imperium-third-editionhttps://boardgamegeek.com/boardgame/119788/hyperborea
Squared tiles - King of Frontier (played couple of times)
Started by asparagus
Started by jungleboy
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Started by Decar