New signage seen on 8/19/2015 states "Enjoy our low morning prices on tickets all day long, every Tuesday. Show your AMC Stubs card on Tuesdays to see movies for less."
Saw this sign at the AMC in Morristown, NJ.
AMC STUBS MEMBERS - Tuesday member appreciation day - half-price movies every Tuesday all day
Enjoy up to half-off (I Don't know what "up to" means) admission on any Tuesday movie when you show your AMC Stubs card at the box office.
The guy at the box office said it was good until the end of the year I think. I will update the post with any other information I find out.
Again, AT THE BOX OFFICE ONLY
! B&M, In-store only. OFFER NOT VALID ONLINE AT ANY WEBSITE.
Addition: full details below
Dear Mr. Slickdealer ,
Thank you for contacting AMC with regards to our AMC Stubs Appreciation Days!
This offer is for a limited time, with the end date to be determined. This is nationwide, however, it is in select theatres. Your theatre, Headquarters 10, is offering this discount on Tuesdays! In regards to the term "up to half off", we chose to word it this way because if you are seeing an enhanced experience like IMAX or 3D, you still have to pay the upcharge with the half priced tickets.
I hope this answers your questions! Thank you for being a valued AMC Stubs member!
EDIT: NEW TERMS FROM AN EMAIL RECEIVED 7/20/2015
*Offer valid for AMC Stubs members only at participating theatres. For a limited time. AMC Stubs members will be able to purchase tickets for Tuesday showings at a special price equal to half off the weekend evening adult ticket price. Premium format charges may apply. Some movies and show times may not qualify for discount.