I have been working nearly 10 years just on 1 game concept. I just got the idea and mechanics written out. I have a base line for story and I am currently working on Creature and Items stats. 1 a month is an interesting idea but I don't think I could make a quality game in that time frame.
You would be surprised what games people can do under 48 hours, 1 month is a lot of time for a really good game, probably not too much of a story telling would be included, but mechanics and presentation wise it can be both original and fun to play!