We have participated in this with my daughter for as long as I can remember. It is a great (and cool), inexpensive way to catch up on some family friendly movies.
AMC Cinemas is also announcing their Summer Movie Camp. Every Wednesday from June 17 to August 5 they'll be showing kids' films. The shows will start at 10am. The admission is only $1 per person, which will be donated to charity along with concession proceeds.
And don't forget to sign up for their free Movie Watchers Club to earn points for free movies and concessions.