With the City lifting the mandates, I understand businesses may continue checking vaccine status as they see fit. Will this theater be continuing vaccine checks, and if so, what is required?

They will continue to do checks.

Best to call however, just went to see the Batman and they asked me for Vax card

They didn't check the proof of vax 2 days ago

Best bet is to call them because it is at the discretion of each business

No

YES, BRING YOUR VACCINATION CARD OR USE EXCELSIOR PASS ON YOUR PHONE.

You can call them and ask them