Errors in geography: The subway trains seen underground are Montreal Metro trains, not New York subway trains.
Revealing mistakes: The patches worn by the New York City police officers that go to the Donatelli home are not actual New York City police patches.
Audio/visual unsynchronized: At one hour into the movie, Jigsaw is sitting on stairs firing a gun. When the gun is out of bullets, you hear him yell "fuck!" but if you look at his mouth, he is saying "shit!"
Factual errors: While killing Pittsy, Punisher is clearly holding a dummy, not a real girl.
Incorrectly regarded as goofs: This movie is a reboot and not a sequel to The Punisher (2004), so any differences between the two movies are not necessarily continuity errors.
Factual errors: Glock pistols are heard being cocked. Glocks do not have external hammers so they cannot be thumb-cocked.