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This isn't quite the same thing you are talking about but Fight Club and Boxer Turtle are two options for you. Yes, while there are more experienced photographers competing in these contests, they are for everyone to enjoy. I think it helps you to grow as a photographer when you compete against people you look up to.
http://www.thephotoforum.com/forum/tpf-fight-club/148681-what-fight-club-how-works.html
I personally have just started Fight Club a few weeks ago but it is immensely fun and I think the quick style of the contest has helped with my photography.
http://www.thephotoforum.com/forum/tpf-fight-club/189857-what-boxer-turtle-how-works.html
I haven't tried Boxer Turtle yet.