The way we approach the games is besides the big canon ones (50, 74), we turn a blind eye to overlaps, and just assume that using vague rp logic, there are two year 62 victors, for example, that didn't some how win the same game.

We figured we'd rather have more PC characters, than have someone get stuck because a year they wanted is taken. So you can pick any of those years, and if someone else already has it, it's a little blimp in the time/space continuum.