I like solitaire games. Several good ones can be found at
www.chiark.greenend.org.uk/~sgtatham/puzzles/
Several solitaire puzzles, including Nurikabe, seem much more fun than Sudoku -- I don't understand Sudoku's popularity.
Bridge and Backgammon are my favorite inter-person games -- and are how I misspent much of my misspent youth. Any bridge or backgammon players here? Join me at playok.com for Backgammon, or at bridgebase.com or playok.com for Bridge.
My family plays some ordinary coffee-table games, including some -- e.g. Spyfall -- which use a little assistance from a free website.
I've played and enjoyed Diplomacy, though not for a few years. Anyone want to join a game?
I do NOT enjoy on-line action games, especially when there is time pressure. I hate time pressure (though I am fairly rapid at Backgammon and some of the solitaires).