My daughters and I enjoy playing Settler and Seafarers of Catan and we all enjoy playing Puerto Rico. Card games we love are Phase 10, 5 Crowns and Fluxx. We’ve played Management Material when a friend comes over who brings it. I also enjoy Graverobbers from Outerspace and all the various accompanying decks for it.
Another game I’ve played is Carcassone, which is another G-S game.