Use your raspberry pi to control a 1/10 scale RC car via a web page hosted wirelessly on your PI. All you need to do is set up your PI to use your mobile as a hotspot then log onto the appropriate web page and tilt your phone to control your car. I've used an old Tamiya hornet in this example; any car will do but if you are buying one try and get one with enough space under the bodyshell to fit all your electronics.
I've increased the response times and made it possible to run off just the 7.2V battery using some rate of change algorithms in the server app. This makes the whole thing a lot more elegant.