what do you mean by idle?
so you basically want some kind of manufacturing simulationi don't know of any that don't require you doing things, but it seems interesting to make myself
Pizza ClickerGoomy Clickergaben clickerclicking badcookie clickercandy clickerchoppin' woodzombie clickersoul harvesterSpeed WarpDr. MethGolden MinerGold and GemsUh some japanese clickerbutton masher idlebattle without endicecream standpingy the ping RPGhouse idle proginormocoinbox hero (questionable?)CivClicker
anti-idle is fun. I guess it's actually sorta the opposite of what you're asking for but it's relevant and entertainingnvm you already posted it. still if you haven't played it, you should give it a try
http://www.kongregate.com/games/Tukkun/anti-idle-the-game
A Dark Room is quarter that, half rogue like, and quarter text adventure.
Think of Cookie Clicker, that might help.Here's a ton of examples.http://adarkroom.doublespeakgames.com/
Any more? I tried most of the games here.