I doubt games with fighting will be dying off anytime soon (chess is pretty old at this point and going strong), but it is nice to have other options.

Hardspace: Shipbreaker is a cool one where you work in a shipyard salvaging spaceships.

PC Building Simulator is a fun one where you do tech support on PCs.

If you're a programming nerd (or want to try out that mindset) Zachtronics puzzle games are some of my favorite puzzles ever. My two favorites are Infinifactory and TIS-100.