Wow, I have only heard of forbidden Island and settlers of Catan. I will look up the rest, we are always looking for more fun board games!
I had to run to our cabinet to remember my favorite games, haha.
My family was recently given a cute little game called Kingdomino. It involves a slight bit of chance because you draw random pieces, but the placement of the pieces is entirely strategy. I also like checkers, chess, monopoly, mancala, and many of the ThinkFun brand games like Lazermaze, Gravitymaze and Rush Hour. We also have a new game called Commissioned that we haven't played yet, but it looks fun.