I actually don't tend to play video games when sick because I already feel like I'm going to die. Though, if I do muster the energy to play a game, it's usually something I haven't beaten.
I also play what I am playing on consoles even when sick because I get very interested in the game where I play it a lot, and dont want to play another game.
Nothing can stop me playing, every time that I am sick my mother always told me to get away from the screen because it will just make my fever more higher, but when she already left I open up my console so back at the business again. I keep on enjoying it even though I feel really really bad.