Hi, Regal Entertainment Group which operates over 6,000 screens at about 550 movie theaters in 39 states are, again this year, offering free movies for families every Tuesday and Wednesday at 10:00am.
They call it the "Free Family Film Festival," and it runs from June through August. They have been doing this since 1991. The movies may not be new releases, but it is still a fun time for the kids, and it's FREE.
These are kid-friendly movies that are G or PG. You need tickets, and they are on a first-come, first-served basis.
Here is the link to all the information, and to find a participating theater near you. The information is in the middle of the page.