Episode VII (spoilers)

[thesummerqueen]

She flies a spaceship she has evidently never flown before so well that she can dodge tie fighters in the guts of a star destroyer.

1) the guts of a star destroyer she explores all the time

2) Current thinking is that she is possibly Luke's progeny - both he and Ani were talented natural pilots. But also... (see below)

She can fix a spaceship she has only been on for a few minutes better than Han Solo, who presumably knows a thing or two about all the special modifications he made to the ship.

Someone pointed out that there was a manual of space ships or something of that nature in her living quarters - she was clearly obsessed to the point of having X-Wing fighter dolls and a helmet stashed there. She had nothing better to do than learn about ships - including the "junk" one that she was familiar enough with to know its provenance - probably from having dicked around inside it.

She is sufficiently unfamiliar with a blaster to remember it has a safety, but never misses once she turns it off.

The storm troopers in these movies seem to have developed better aim as well. No one's complaining about that...

She knows she can use the force to influence Daniel Craig without being told force could do that.

Bullshit - she had clearly heard some stories about the old Jedi order and what they could do. In fact, Han confirmed that the stories were true.

She knows how to pick up a light saber with telekinesis without being told how to,

Same as above.

and she beats the stuffing out Kylo Ren even though Ren had training enough to to kill all of Luke's other apprentices, while she her self had no training at all.

1) Ren had been shot, thus weakened, as well as thrown out of his headspace by her resistence
2) she's a bowstaff wielder - she was swinging that lightsaber around like a person who was used to a staff.

It sound like she should be training Luke, not the other way around.

Nothing she did in any way was 'unique' to stories she had heard and experimented with, or things she saw Kylo Ren doing and immediately assumed must be possible, then.

Leia, I'll remind you, needed no training to resist Darth Motherfucking Vader when he was interrogating her, even with an interrogation droid helping and his considerable force strength. Don't talk to me about her being a Mary Sue.