Two for today, or I will be doing this all month!
System Mania combines contraption orientated games with the service genre (Dinner Dash inspired) games. While the ideas (pull a cord, rotate hourglass times, push buttons) is contraption like, it is more of a speed game than a problem solving game
Armadillo Run is a great game, and very addicting. If you buy the game there are 50 levels, and you can create your own levels. Its very fun, and a great way to make you think.