Because this is kinda long: Teal Deer at the bottom.
Well I read those, I get that the super protagonist that never really fails is done a lot. I also know that she is not the first perfect hero in Star Wars, Anakin is even more horrible (building a robot and a speeder at the age of 8?, somehow flying a starfighter and destroying the an army with no help, murdering the entirety of the jedi temple alone and unopposed?). And Luke and Han are also perfect heroes. Point conceded on that regard
But the main difference is that at the least, Luke failed in minor things and needed the main cast to save him or help them. In the fourth movie he: gets his head bashed by a tusken raider and almost becomes jerky if it were not for obi-wan, gets in trouble at the cantina and needs obi-wan to save him, then his and Han's plan to rescue Leia would have failed if not for Leia actually guiding them to the exit; then Vader discovers them and Luke doesn't fight him, Obi-wand does, sacrificing himself to save the rest of the heroes (and at the same time popularizing the trope that dooms every mentor archetype to death). From then on he is Mr. Perfect Hero though, but at least by then the movie is almost over. So while he indubitably the hero, he does need support from the rest of the cast to start his journey.
On the other hand Rey never really needs help from the main cast; she beats the two scavengers at the start without Finn doing anything; she then gets herself and Finn out of Jakku; while it's true that Finn gets the final tie fighter on the escape sequence (but only becuase aligned a perfect shot); then when she gets captured nobody actually needs to help her escape nor is she harmed in any way, the whole scene just shows us us how incredible she is, reveals some plot and moves her to the ending location (lame coincidence, but that one isn't her fault), then she just escapes a high security prison on her own, while mostly offscreen. The only time she is helped is after the battle with Kylo Ren when Chewbacca takes her to the Falcon.
It's not those things that make me roll those eyes, I would expect a hero to do all of those, it's the fact that she does all that and never gets the bad end of the deal once.
I also must give some praise to her character though, because she, unlike Luke, is not the average perfect hero in morals. She clearly has doubts in her abilities, doesn't really want anything to do with saving the galaxy, and is clearly not incorruptible pureness. Case in point: when Kylo Ren murders Han, she is clearly fighting him for the want of vengeance and not for some noble ideal, which I really do hope is foreshadowing that bad things will happen in the future movies.
TLDR: I guess that my problem with Rey is that she just never needs anybody to help her, not in the movie and apparently neither in her backstory (no parents, no trainers, no Jedi mentors, no help from the cast). And I think that that is plain bad storytelling.