Martian internet server

Design a computer to current specifications, make it really tough and send it to Mars. It sits there, solar-powered, with a webcam, various other sensors, some storage space and some backing storage, probably flash memory, protected from the radiation by burying itself - the camera sticks out of the top along with the antenna. That antenna communicates with an orbiter, which boosts the signal and sends it to Earth, and also a nearby remote control rover. The bandwidth is, of course, amazingly low.
Space probes communicate with the server and space can be bought on it, by the space agencies involved and by private individuals. You can look at the webcam and other data, it will host a website for you at a phenomenally huge sum (which funds it). It also acts as a mail server, and for a slightly less phenomenal sum, you can have an email address which is physically located on Mars. Users can also log in to the server by telnet and control things like the direction the webcam is pointing in and the rover, allowing one to do such things as write one's name in the sand on Mars through turtle commands, obviously very slowly.

There is actually a point to this. It focuses people on space travel and the reality of other planets, giving us some perspective on our own lives and our place in the Universe, it's self-funding through the lucrative kudos of having a web site or email address hosted on another planet, and it serves as a monument to document that we once existed.

The big problems are the tiny bandwidth and what happens if it crashes.