Are you talking theatrical releases? The 'upcoming' and 'now-playing' methods will probably get you close to what you're looking for.

1. http://docs.themoviedb.apiary.io/#get-%2F3%2Fmovie%2Fupcoming
2. http://docs.themoviedb.apiary.io/#get-%2F3%2Fmovie%2Fnow_playing

Otherwise, if you're looking to be able to query the API based on dates, check out this thread:

http://www.themoviedb.org/talk/508002d4760ee31a74000230

awesome, thanks wagner. Seems like API version 3 has improved alot from 2.1 : )