Steam

Then the new game sits in your library unplayed until it becomes an old game and the cycle continues.

This is accurate. I have several games that I have never even played. I'm dumb.

proceeds to buy old game on sale

I honestly been buying old games lately just out of fear of shitty companies removing it from the store rather than stuff I would really like to play now. Not that those games are bad and I dont' want to play them, but I don't want to only play 20 year old games.

In my case, I want a new old game

So what new(or old) games should I buy?