I own the rights of [any game], remove the download from your site!
Ok, no problem. Just contact me and I'll remove the game. I try to pay attention to what is "abandonware" and what is still sold somewhere (Steam, GOG, etc.) and I take every possible precaution to NOT put online games still supported by the developer.
I can make mistakes. If I made one, I'll fix it as soon as possible and, as a gesture of good will, I will link to the official website of the owner of the rights to the game.