Scarim Coral said:
I will only agreed to the game nought and crosses game if only I go first! (Including when it end up as a draw.)
I always win when I go first so the only best thing that the Grim reaper can do is end up as a tie, then it will become a waiting game (which hopefully I won't crack up from it).
Problem with this idea is that it is fairly easy to be able to only ever win or tie, so Death will also play perfectly. You can get tired, he can't. He is not going to be the one to slip up first.
The idea of 'The Game' is a good one. It's likely that he will be unable to forget the game and so is likely to lose first.
Personally, I would opt for bubble shooter. I am better at that game than is good for me. Alternatively (and pessimistically) Assuming death will generally be more skilled than me, I'd choose a game of pure chance.