I use the Shield Pro, and it works great for streaming Steam games. I've never used moonlight/sunshine, but Steam Link has worked flawlessly for me, as well as xbox controllers, PS4 controllers, and Switch controllers and their knockoffs. My only gripe is it only has the HDMI port for 4k/60hz (HDMI 2.1? Can't remember the number) and can't stream the 4k/120hz my TV can handle.
Didn't see them mentioned yet, but the Civilization games. Which is funny, because I love the 4x strategy game Galactic Civilizations, and many other strategy games like Europa Universalis, Victoria, XCom Total War, and Expeditions. But something about the abstraction and tile system turns me off. I recently tried Old World, and similarly couldn't make it through a single game.