What's your sign, baby?
Play with astrology. It can be the classic Grego-Roman based astrology, (Virgo, Pisces, Gemini, etc.) or you can look towards the Chinese legends - Chiriko, Subaru, Nakago.... anything up in the sky. Or you can use the four quadrants (Suzaku, Seiryuu....). The Jyuunishi is also fair game. Whatever works.
Write a fic around a character or item that draws their name from one of these (Yes, you can get away with Tokyo Babylon, Fruits Baskets, Fushigi Yuugi, YYH, GW...). Have someone examine their astrological importance. Look into the deeper meaning of when someone is born. Cheesy pick up lines! Character compatibility! Anything that mentions the signs - this is an easy challenge for some series; others you will have to stretch.
60 minutes is in the stars for this challenge.