It would definitely not be an AAA or even AA game but I'd love a good hanging (fantasy) simulator. As in, you'd be able to control all the minute details of each hanging when you are brought prisoners for execution. What the victims wear, the length of the drop, the placement and the style of the noose and gallows being used, whether it's public, private, for a closed audience, televised etc. The hangings could also fail (rope snaps in which case the girl is saved or in an extreme misjudged weight / drop case, the head pops off) and these would also have various effects on the effect of deterrence.

I would especially love if it was coupled with a school institution management like >>5657 describes and the hangings wouldn't just be snuff for the sake of snuff, but something done to a character for a reason and they would have different effects on the school populace based on how they were carried out in both detail, publicity and success. And you could also try to reform instead of executing and use less severe punishments instead. Or in the case the hanging ends in a non-fatal outcome, you could spare the victim from having to go through it again