The start dates aren't exactly up to the minute. For example, it was announced yesterday that the new Chihayafuru kicks off January 21st. That said the anime season chart is a good guide for what to look out for as the new crop of shows start commencing.
UPDATE/Clarification: Chihayafuru is slated for the 21st on Yomiuri TV and the 11th on NTV. Thanks to @ultimatemegax
What are you looking forward to this season?