Continuity mistake: When Deadpool is talking to Wolverine's skeleton, in one shot the skeleton's mouth is closed, but in the next shot it is open.
Continuity mistake: During his introduction to the TVA, Wade is engaged in conversation with Mr. Paradox. There's an employee at a drawing table near them. When Wade salutes Cap, the woman changes position as the camera angle reverses.
Plot hole: In the opening scene, Wade applies to be an Avenger, and does it in the Sacred Timeline, the main MCU timeline, on Earth-616. Not his own, which the movie classifies in the next scene as Earth-10005. Assuming he can just do that (at the end of his second movie he certainly did stranger things than that with Cable's device), one fails to see the purpose of it. Let's assume he aced the interview and got hired; it's not his timeline. He does it to have a good relationship with his girlfriend. Who...is in a different universe. Whatever Wade does in the vastly different universe is not altering anything in his own. It was never going to work.
Suggested correction: He goes back to his universe. Think Thor...or the Guardians or Captain Marvel or whomever isn't Earth based. They "Assemble" then go back to protecting their little corner of the Marvel Universe.
Suggested correction: But it's Deadpool. When does anything he ever does make sense? He wanted to be an Avenger, he went out to be one, no matter what that meant in the literal sense. As long as he can say it, it's enough for him. Even if it is in a different universe/timeline, he can still say he's an Avenger. He is also a rule breaker, so maybe he can figure out how to make it work.
I knew this was going to be the objection to it; it's Deadpool, he can do whatever, etc. There are multiple times during the movie when he mentions things that he is not supposed to know because they are meant to be fourth-wall-breaking jokes. He references real-life actors, he interacted with them in previous movies. So they are absurdities with a purpose, and it's pointless to argue with comedy. But him being rejected by the Avengers is part of his motivations and of the 'serious' part of the plot, which is focused on his own universe and his girlfriend. Earth-616's Avengers though? The namedropping for nerds is an absurd choice when you think about it, which the movie does not want you to do, since it makes zero jokes about it. Without that caption it was not even going to raise any objection or paradox; he could have met with the Avengers of his universe, any universe - later in the movie Wolverine says "F*** the Avengers" as if he knows them.
Two things: 1. Even if he is able to join the Avengers on Earth-616, being part of a team might give him a sense of belonging and change his whole attitude. It wasn't to impress Vanessa about being an Avenger, it was to change his attitude which had soured after the events of the second movie. 2. It cleverly explains that the Marvel characters from the Fox universe were in their own universe and, to this point, have likely not been a part of the MCU.
Maybe his universe doesn't have Avengers and he found out about them through the MCU. That's what I'm saying. It's just a gimmick in the movie and actually doesn't affect the plot that much as he was given a task by the TVA (or whatever lone wolf from the TVA) and teams up with Wolverine. Him trying to be an Avenger and talking about it is just a running gag.
Continuity mistake: When Deadpool and Wolverine are eating a burrito, Deadpool throws his on the ground a few feet to the right. In the aerial angle the burrito is gone. Then the dog runs towards Deadpool and the burrito is now in front of him. When the dog arrives, the burrito is now closer to Deadpool's foot.
Continuity mistake: After the gory bus battle, Wolverine's claws are clean in one shot.
Other mistake: During their first confrontation with Cassandra Nova, the dynamic duo seem to score a point when Wolverine backstabs her in a very literal sense. While it makes for a cool moment, it also is pure nonsense; they are in an open space surrounded by her goons and none of them has the slightest reaction nor you can see any cover Wolverine could have used to sneak upon her. Even the soft ground is intact.
Suggested correction: Cassandra uses her powers to phase shift (ghosting, selective intangibility) Wolverine into the ground and behind her. After her quite long time inside Deadpool's head, Wolverine manages to get himself out, phasing himself back behind her and stabs her. Since he was phasing, the ground won't be disturbed.
But he DOES disturb the ground when she phases him into it. He sinks in a hole, he leaves a trail. And that is with her controlling the process. Since he doesn't control the phasing and how to emerge from it, I don't get how he can just casually pop up (with no particular speed) without any trace, and again, unseen surrounded by goons watching from every angle, to nobody's reaction.
Look at the scene closely (if you can). There is far less disturbance than would have happened if someone was dragged through the ground. The only disturbance you see is from his claws still sticking out of the ground as he is being dragged; his body has zero effect on the ground. I think it also has to do with the amount of force Cassandra uses to pull him. Coming up slowly would hardly disturb it. The goons won't interfere; they know what she is capable of and has nothing to fear from these two.
Will of course check out the Disney+ release in the future, but the movie doesn't show the action going on this way; if they wanted to show him being phased, then they shouldn't have depicted him as being sucked into the ground with his body looking very much solid, nor his claws leaving claw-shaped trails. The fact that it causes much less of a disturbance than it could have is because well, her powers are not something we have a real life comparison with; the way she "skinned" Johnny wasn't physically accurate either but there's no lack of consistency with anything else. As for the on-screen portrayal of the ground pull, all I am pointing out is that he very much leaves physical and permanent trails on the ground that the movie shows, at no point his body shows to be immaterial, and then a minute later he just pops up, with no particular haste, and there are no traces of him going through the same medium. As for the lack of reaction, it's a lack of timely reaction; they do react to him when he stabs her, you can see some of them raising their guns, so it's not as if all of them have such trust in their boss' abilities that they are nonchalant about whatever is directed at her. It's just that they react to it when the audience does. There's no reason why they wouldn't do it earlier. Other than the fact that it's a movie, but's not like Deadpool makes a joke about their terrible reaction times.
Revealing mistake: In the second half of his fight with the TVA weaponizing Logan's spoils, Deadpool at one point accidentally stabs himself in one arm using Wolverine's claws. The claws are stuck and hard to pull out, and we are just a few seconds away from a prolonged visual gag based on that concept. However, in this circumstance, the claws come out effortlessly at an impossible angle as he spins away and they do not leave a mark on the suit.
Revealing mistake: When Deadpool dives away from Mr. Paradox and catches his Tempad, he falls towards the employee he has been harassing all along. As the camera closes in to the guy, he is holding a coffee mug, but in the next shot, the mug vanished. This wouldn't be a mistake and is actually a clever hook, since that is the same mug that appears in the intro and the implication is that Deadpool got it at that point in time. However, the implementation seems to be faulty since Deadpool warps away with both arms pointing up, facing away from the guy, who already isn't holding the cup anymore.
Continuity mistake: During the conversation between Mr. Paradox and Wade in front of the MCU screens featuring Captain America, a few times Matthew Macfadyen's motions do not quite match when the camera angle switches. For instance, he leans in twice when Wade salutes Cap, and twice away he bobs when he says he "can be a hero amongst heroes."
Continuity mistake: In the locker room of the car dealership, look at Wade's hands when he emphatically says "F**K No" to his own question. He moves his hands away from Peter's shoulders and then back on him. Reaction shot to Peter laughing, Wade moves his hands again, and you can notice the hand position in the reverse angle does not match this last change.
Continuity mistake: Wade, a car salesman, is in the back seat of the Kia Carnival with a family of potential buyers. He answers a question about a different vehicle with crude language, to which one of the kids chuckles and puts his left hand in front of his mouth. New shot and he switched hands.
Continuity mistake: Deadpool pulls out of Logan's carcass the piece of wood that impaled him. It's an overhead camera angle, with both arms of the adamantium skeleton pointing down. He sniffs and throws away the branch. In the next shot, the skeletal hand is now visible at the bottom of the frame, pointing up and close to his face.
Continuity mistake: In the first scene with Wade in his apartment meeting his friends from the previous movies, pay attention to the little chat he is having with Dopinder the cab driver. Ryan Reynolds is holding his green paper cup at different heights between shots.
Continuity mistake: During the party, Vanessa's grip on her cup differs between instant cuts.