I finde your definition is very plausible!
For Saw it depends on the movie! The later ones intentionally have games that are not winnable, as the people setting up the games are stupid and then later get punished for this by the original creator.. I thought thats kinda clever! But most saw games, even the ones you can win, will still be very painful and cause permanent damge..
I would also not count Clue!
I'm not sure about the movie ready or not, I just checked the trailer and it seems very familiar, so probably I have seen it too
Wish I had better memory 
I only watched the anime of Danganronpa
Do you watch anime in general?
Uhh I skipped through the trailer of the platform.. it kinda seemed like people are eatching each other??
For Saw it depends on the movie! The later ones intentionally have games that are not winnable, as the people setting up the games are stupid and then later get punished for this by the original creator.. I thought thats kinda clever! But most saw games, even the ones you can win, will still be very painful and cause permanent damge..
I would also not count Clue!
I'm not sure about the movie ready or not, I just checked the trailer and it seems very familiar, so probably I have seen it too
I only watched the anime of Danganronpa
Uhh I skipped through the trailer of the platform.. it kinda seemed like people are eatching each other??
So to be completely fair, there are media other people count that I don't, like the Saw series. Technically, some of the traps are survivable, but too many of them aren't. Or like the movie Clue, where just because it's based on a board game, the movie itself is a murder mystery to me, not a death game.
So what I do count that I have read/watched/whatever:
*I haven't read Battle Royale yet, but it's up next on my audiobook list! So I'll report back if it actually counts at the end. I expect it to with people saying The Hunger Games ripped it off.
So not enough media options for my taste.