Do not get H1Z1. Perhaps its just a bad experience but in my opinion steer clear of that. Rust can be fun for the survival aspect but it still needs some fleshing out. I've heard good things about Verdun although I haven't played it myself.

There is just something about Chrono Trigger - it really was an iconic game that still maintains relevance. The DS port was actually well done in my opinion. Really cleaned up the UI and the additional screen helped unclog the action.

The first one was good, but BG was all about the sequel. It seems obvious that you did not play these when they were first released. There was nothing like them at the time, and really nothing has matched the isometric 3D style since (although PoE and Wasteland 2 are reviving the style). Nowadays everyone is about the action and fighting. BG was about the careful planning of the characters and fighting the incredibly tough monsters (like a Lich or Mindflayer).

It's not online but Mister Mosquito was really unique.

You can never go wrong with Starcraft and Starcraft II. Maybe Hearthstone? It doesn't require much.