Factual error: Martha Kent drives away from the foreclosed property. The realtor address is "Comanche, KS 66531", but that's the zip code of Riley, in Riley County. (00:06:30)
Continuity mistake: The woman in the doorway of the Thai Street Food store reacts differently between the two shots to the dude kicking the crates in front of her; she is clutching her bag to her torso in the first shot, holding it more casually in the second. (00:06:50)
Continuity mistake: The "I TRIED" sign is positioned differently against the foot of the homeless man between shots. (00:07:20)
Continuity mistake: Wonder Woman is on the statue on top of the Court of Justice building. She is holding the statue's sword at a different height in the two shots. (00:08:45)
Continuity mistake: When Wonder Woman breaks through the door, the left side flies off, sliding on the floor almost all the way to the couch in the reverse shot, and is closer to WW in the next. (00:09:45)
Continuity mistake: While Bruce is on the cliff before speaking with Arthur he has his hood on, but in the immediate next shot the hood is off. (00:11:20)
Continuity mistake: The marker used by Barry to sign in at the jail moves between shots. (00:16:25)
Other mistake: The security guard alerts Batman about Barry Allen's arrival pushing a button on his phone. The date on the phone says it's Friday 20th Jan, which is coherent with the year (2017) this version of the movie is set in, but too early for the K-pop "As if it's your last" music video playing in Flash's lair (it was a summer release). (00:16:50)
Continuity mistake: When Barry is talking to his dad in prison, the father asks "Where do you even have the time?", and Barry is suddenly leaning with his arm to the counter instead of having that hand on his lap. (00:17:10)
Other mistake: The janitor, Howard, stops Dr. Stone to talk to him about the loss of his son. Look at his badge; the person on it sports a beard and sideburns and a hat, and it's "Jensen" plus initial. Later on the same janitor hears a noise inside the lab and you can see the badge picture is different and it lists the full first and last name. The first scene was a Whedon reshoot, so probably after weeks they didn't have the original prop and made another one. (00:18:55 - 00:21:15)
Continuity mistake: The Queen and Euboea are knocked off the horse by Steppenwolf. The Queen is face down, with the scabbard of her sword pointing up and aside of the mantle; next shot and the scabbard is not visible, just the mantle. (00:25:45)
Continuity mistake: When WW enters Bruce's lair towards his ship she is wearing high heel boots. In the next shot she's wearing flat black boots. (00:31:44 - 00:33:06)
Continuity mistake: When Bruce talks with Barry to joins him into the league, he shows him a paper with Barry on it and his fingers move between shots. (00:36:35)
Continuity mistake: When Flash calls himself "a snackhole", he holds the pizza carton with the hand at its corner, then more towards the middle. (00:38:45)
Continuity mistake: When Aquaman dumps the sailor that was attacked by parademons, the man has no green stains on himself, but he exhibits large ones in a close-up, not to mention that Aquaman's hand is clean in the rest of the scene other than the glass close-up (as we can see from the Snyder cut, the encounter had nothing to do with parademons in the original concept). (00:42:40)
Continuity mistake: When Aquaman returns the sailor to the bar after saving him from the ocean, he drinks whiskey from a glass and notices parademon blood on his hand and the glass, in the next shot the glass is clean. (00:43:05)
Continuity mistake: Steppenwolf sends away the parademons saying "This one is mine" to confront Wonder Woman one-on-one. She says in close-up "You overestimate yourself" and her right shoulder is clear of hair, but in the previous shot she had hair right in front of that shoulder. (00:54:55)
Continuity mistake: After the underground battle with Steppenwolf when they are finally joined by Aquaman, Wonder Woman sums up the situation with "All he needs now is the Lost Box of Men." Batman replies "If he doesn't already have it" in another shot, where Diana's hair is missing in front of her shoulder. (01:01:15)
Suggested correction: Passage of time. You assume Batman responded that quickly and WW didn't fix her hair, as women tend to do.
I do, and I believe it is a legitimate assumption given the dynamic of the scene, rather than thinking that the hair switched place because there was am unseen, unimplied lengthy pause between her line and Batman's direct reply and that during that time she flipped a lock back without changing her stance with pendule arms between shots.
Plot hole: When Cyborg tells his origin story, he says that the Mother Box in possession of the government was shelved till after the night when Superman died, when it came to life leading it to be studied by Cyborg's father, Silas. However, that contradicts the previous movie, Batman v Superman [both 1 h 39' and 2 h mark], where Batman came upon Luther's metahuman evidence file, including Silas Stone's vlog with the creation of Cyborg that Diana watches. (01:02:35)
Character mistake: When the military security checks Flash's phony badge, his false name "Rowe, Wesley" replaces the name of one of the names in the list to the right, one "Choi, Wesley." The problem with this is that the last names this way are not in alphabetical order anymore, so Cyborg made in fact a rather poor fake, especially for such a supposedly super-powerful being who hacked the Bat-cave computer on the fly, on top of a much larger mistake with the date of birth listed as 11/06/10, and the movie is set in 2017. (01:09:30)