When the Cyborg removes the coat of a drunk prior to entering the club looking for Wildcard, the coat is a button-type with fasteners all the way up the front. After entering the club the coat turns into a poncho-type with only a couple of fasteners at the top.
In the Museum 'Nuclear Family' exhibit, Chen machine guns at (lead character) Ricks, hiding behind a couch, which gets shot up:
when he comes out to fight her, the couch is intact (and another less sumptuous style.)
The film is set late in the twenty first century (2074?); but towards the end, in Mercy's junk / ship yard hidey hole, A. Jolie goes to make a phone call in a phone booth with a clearly displayed rotary wheel dial.