Good question. It all depends at what time you are going in January. If it is before the 5th, i believe the Christmas Fantasy Parade will still be making the 'rounds. If it is after that, i am not sure. I think the Celebration parade starts after March because of the repaving project on Main Street. Hope this helps!!! :blush:
There will not be any parades in Disneyland starting January 5th (through most of March). Fantasmic, however, will probably have a ~7:30 showing on weekdays, and normal showings on weekends. California Adventure will have Pixar Play Parade, but it will be only running 5-days per week.