Fubarino.org gives you 4 projects as an example how you could use it and there are some videos in the playlist featuring student projects, which could have been made with an arduino as well. This board is a lot beefier than the arduino and teensy boards, so it doesn't feel right to make leds blink (again).
Since there where 19 winners with me in that contest, I thought it would be a good start to check, whether some of those guys did a project with it. Not everyone had a blog or page but only a video of their hackaday.com easter eggs. Searching the blogs and pages for fubarino would not give me anything but their contest entry except for one -
This board got more hate than the arduino on hackaday.com comments since its name resembles an abbreviation for "fucked up beyond all recognition" but comes from http://fubarlabs.org/ - "Fair use building and research".
The onboard chip is also on the chipkit max32 dev board and a search for it on hackaday.com gave me this project:
So much for my search of inspiration, I came up with two or three concepts like a robot control thing, checking the digital signal processing capabilities, a multiple protocol remote like a sonic screwdriver or a plant caring device.
Searching the blog for pic32mx gave me a project on hackaday.com that used the fubarino, but was not tagged with fubarino!
Searching projects with the tag "PIC32" showed me, that D-DAQ is also using the PIC32MX795F512, as well as the Mini BSD computer. The D-DAQ uses a PIC32MX795F512L which happens to have 100 pins, where the Mini BSD computer uses the PIC32MX795F512H which has 64 pins and is also used on the fubarinoSD.
I don't now how I could have missed that, but one of my favorite projects on here also uses the PIC32MX795F512L. It even is one of the semifinalists of "the Hackaday Prize" :)