Think if this scene would be possible with Rey...

https://youtu.be/zzeVFxIJV3k?t=168

"Just"?

Because that rollercoaster to the Dark Sider is bigger than anything Rey had gone. That's for sure.

Wow, that's  a rather poor list.

1. Really reaching here. Especially since all it leads to is a comedic scene. And actually takes care of the pirates who had just boarded. Hmm. Mary Sue? 

2. Cause she never touched a blaster. But, then fires a perfect shot the 2nd time, and many after. Hmm. Mary Sue? 

3. May have a little something here. Well, except this just leads to her revealing she is OP as fuck in the Force, with no training, and she is just able to escape her situation by herself. Hmm. Mary Sue? 

4. This could have been an awesome point for not only you, but her character. But, this scene, as well as the mirror one, just proves the Dark Side has no pull on her and she can easily refuse it. Not even Luke was that perfect. Hmm. Mary Sue?

5. Except she doesn't. He gives his life, in a rather lackluster way, I might add, because she convinced him. Had it not been her to go, the Rebels would be dead. Two fold, actually. Not only does Luke get reduced to a distraction, Rey is the true one to save them. And she just so happens to do it by demonstrating, once again, how OP she is in the Force. Hmm. Mary Sue?

6. She actually did turn him. But, the movie remembered it needed a bad guy after it wasted Snoke, so he turned right back. That scene still showed how OP Rey was. She helped take out a group of elite guards, and saved Kylo (just to make the count even), with little effort and in like 2 mins, with no training. Hmm. Mary Sue? 

If you want to talk about Marty Sues, I do find James Bond a not so good character because of that.

As I pointed out above, many of those weren't even really failures. That last point is a great one. With Luke, you get that working on things is something he picked up from, more than likely, his Uncle and a skill he needed to fix the equipment on the farm. Rey's whole purpose is to junk ships. Not fix them. That's like saying a guy who can steal the stereo and speakers out of your car should have the expertise to install them. Same goes for her ability to fly any ship. Luke could fly something similar to his T-16, but there is no way he could fly the MF in the first film. Rey can fly everything because...she has that little land speeder? Yea, those are interchangeable. I guess a motorcycle driver should just automatically be great at flying a jet. 

1. A problem she promptly solves.

2. One time as a learning shot since it was her very first time firing a blaster to kill. She promptly because a master with it on the second shot.

3. All so we can see how amazing she is and doesn't need help escaping from a highly secure First Order base.

4. And then she still ends up being an unwarranted force badass and Paragon of the light side.

5. Until he does anyway for dramatic effect.

6. Oh no, she failed to turn the now-main baddie good.

Depends on which interpretation of Batman. In Nolan's Batman movies Batman struggles and fails. He breaks his oath not to kill with Ras Al-Ghul, he loses Rachel to the Joker, he fails Harvey seeing him descend into madness, he is hated and hounded by police, he is old and crippled, Bane breaks him leaving him in agony for weeks.

He gets a happy ending, but the journey in the Dark Knight Trilogy was pretty miserable for Bruce.

None of those appeared in one of the largest franchises with the same severity of Mary Sue that Rey is.

This is way too much of a quotefest jeez, but quick round-up

1) Crashing the Falcon would end the movie, and by Star Wars logic competence with a flying vehicle is competence with any flying vehicle (see Luke and X-Wings) and we know she has flown:
"I've flown some ships, but I've never left the planet" + She shows repeated familiarity with the Falcon's history and interior, suggesting she knows enough about it to fly it, if she hasn't flown it already ("That one is garbage")

2) "Mary Sue" delineates a near flawless character, but she's shown to have huge baggage and character flaws, unrelated btw to the larger Star Wars character roster. I.E. her past is not a way for her to perfectly fit in pre-existing story-lines, which is what the original Mary Sue point in fanfiction was about.

3) Yes, Luke and Han (at least initially). Can you read?
She's the hero, so characters ultimately trusting her, especially as she is a Force user and interested in joining the Resistance, just makes sense. 
The main cast has no reason to dislike her, so why exactly would they?!
As a meta point, she clearly represents the bright-eyed optimism of Star Wars fandom, so the main cast ultimately disliking her would kind of make the point that liking Star Wars is wrong, which is just baffling! 
It seems you want the main cast to dislike her because you do...

4) Are you suggesting a wounded Kylo Ren is as strong as Darth Vader? lol
Excusing that pile of nonsense, Kylo, who is bleeding out from both a gunshot to the stomach and a slash from Finn, is shown troughout to be the superior fighter. Rey barely manages to get a "win" over him by using the Force. A reminder that Kylo is trying to turn her to the Dark Side, not to kill her.
The movie is quite clear in showing that Kylo is stronger, and that the real fight isn't over yet. Like TFA will get sequels or something.

5) Ah, you really showed me here

6) The point isn't that I don't like the term, but that stupid people tend to like it a lot. 
Ergo, using the term makes you look really, really stupid.
Go on though, just saves me the trouble of taking you seriously

1. Pretty sure it wouldn't end the movie if the Falcon crashed just delay things. Luke specifically said that the X-Wing was very similar to his T-16, something he flies regularly. Even then, he didn't do any spectacular maneuvers, he just had good aim. And if she was actually familiar with the Falcon, she wouldn't have called it junk seeing as how it's the fastest ship in the galaxy. It came off more as her assuming.

2. Character flaws and baggage aren't detractors from being a Mary Sue unless it plays a significant negative impact during critical moments. Having baggage in Rey's case is more her backstory than an actual flaw. She's a Mary Sue because everyone likes and trusts her for no reason, and she's better at every specialist character's job than they are (better mechanic than Han, better Jedi than Like, etc).

3. And they end up loving her in less than 30 minutes of screentime. The problem is Star Wars movies don't have a single main character; is a roster of equality important and impactful characters. The sequel trilogy forgot that and made it The Rey Show. And there's a pretty good reason to dislike her: they have no fucking idea who she is because she doesn't know either.

4. Are you suggesting that Rey should be as good of a force user as someone with years of training and first hand experience when she just found out that she might be force sensitivity?

5. Ah, you really made a solid and relevant argument there.

6. So he's stupid for using a standardized term that you don't like for reasons? Glad you're not making things personal.