It's called AMC's Stubs A-List, and it launches next Tuesday (6/26/18). 

AMC's new movie subscription service will require a 3 month membership commitment, but it will feature several perks, not available with Movie Pass. You'll be able to watch up to 3 movies every week, at any AMC location including IMAX and 3D. If you want, you can watch more than 1 movie in 1 day, as long as there are at least 2 hours in between showings. This subscription service will also let you watch the same movie more than 1 time. You can reserve passes from home and you'll get deals on concessions, all for $19.95 per month. AMC Theatres CEO and President, Adam Aron said,

"We believe that our current and future loyal guests will be interested in this type of program. AMC Stubs A-List rewards guests with something that no one else offers: the very best of AMC, including IMAX, Dolby Cinema and RealD 3D up to 3 times per week, for one simple, sustainable price."

You can get on the email list Here, and they will send you a reminder to sign up next Tuesday.