Regal Entertainment Group will offer select tickets this summer for G- or PG-Rated Movies for $1 on Tuesdays and Wednesdays at 10am local time. (Participation may vary by city.) Note that these showings are not new releases, but include films like The Boxtrolls, Kubo and the Two Strings, Kung Fu Panda 3, Trolls, Sing, and The Lego Batman Movie. Scroll down and type in your ZIP code for a list of locations and dates near you; most cities start this 9-week program in June or July.
Of note, Cinemark is offering a similar Summer Movie Clubhouse deal. You can purchase in advance a 10-movie punch card for $5, or bag single tickets for $1.