Yes I am familiar with Desert Bus. I was thinking of that game and a few based off it when I wrote my second paragraph. That, and the abundance of flash games targeted toward kids.
For "possible to beat" I really mean possible. Not humanly reasonable. If there is a way for a standard human to do it, as difficult as it may be, it counts. Unless the game is unfinished, has no means of completion (like some Action52 games) or is impossible by design—like, the player can not cross a gap impossible—it counts. For stuff that requires staying awake for 100 hours... I suppose stimulants could be provided. That or you switch to polyphasic sleep.