I guess I don't see the double standard. Rey is a great pilot. Her Force sensitivity allows her to impressively navigate the Falcon through a Star Destroyer. Luke doesn't really show off his piloting skills at any point in the OT, I believe. During the dogfight, he's not particularly spectacular. Luke gets saved by Wedge at one point. He doesn't do any awesome maneuvers and I believe the only thing he flies into is the trench, which is a straight line.
Rey, is able to use the Jedi Mind Trick on someone. Up until that point in the movies, we've only seen experienced Jedi do such a thing. Luke didn't do it until ROTJ. It's definitely a reflection on his character, he's more wise, more mature. When I see that, I get the sense that he had to reach this state in order to do it. Luke also blocks the blaster shots while blindfolded, but if you watch that scene again, he's been at it for some time without the visor on. He gets frustrated with the training because he keeps getting shot. You would think that since he's Force sensitive that he'd be able to do it without a problem, but he needs a bit of extra help from Obi Wan. Luke gets blindfolded and tries his hand again. He gets shot again. Then Luke shows his potential with the Force by blocking the shots. While Han dismisses it as luck, Luke says that he could actually feel something. Obi Wan tells him that this is his first step into a new world. We don't get the sense that he can do much yet, but the potential is there.
Rey has a great fight against Kylo (I actually came around on the fight; it's beautiful), where most of it, she's being pushed back. Kylo is on his A-game despite being injured twice and ordered to bring her in alive. Once she is reminded about the Force after already using the Force, she begins to overcomes Kylo and starts laying into him. Now he's on the ropes, she's got the upper hand. Rey is stopped by the deepening chasm between her and Kylo. Rey is victorious. Meanwhile, Luke's being chased down the trench. Vader is taking shots at him. Han to come bail him out at the end, giving Luke the much needed time and concentration to make the impossible shot with the aid of the Force -- after being reminded by Ghost Obi to trust in the Force twice. To me, it seems like Rey is better than Luke.
Am I missing anything?
Yes, a great deal, but much of it is in how you framed the things that Luke does vs. what Rey does.
I've harped on this often in this thread and others, but Farmer Luke blocking laser beams while blind within moments of first trying (after the helmet is put on) is straight up crazy. I think that's far more impressive than any one thing Rey does in the film. He's 1) using a sword for the first time ever, 2) blocking point blank laser fire with said sword, 3) three times in a row 4) while blind. Rey's feats are comparatively small by comparison - it's just that her Force use is more distributed across more moments. Her actual pace of learning each is in par with Luke, who accomplishes both of the things Obi-wan puts to him, immediately.
As for the mind trick requiring advanced training, we see Obi-wan block laser fire with his saber, and use the mind trick in ANH. It's not established at any point that the mind trick requires extensive Force training, any more than anticipating where laser fire will land before it lands. Luke picked up on that within a minute of having the blinders put on him. Rey picks up on the mind trick, after Ren has used it on her twice and she's learned to push back on it. And like Luke with the lightsaber, she fails in her first few attempts. The scenes in which they learn these things are about the same length.
Flying: Luke's father is described by Obi-wan as being the best pilot in the galaxy (IIRC, paraphrasing). It's established that he was a Jedi, adept in the Force. Later, Luke boasts of making shots that are "impossible, even with a computer" repeatedly on his own. The implication being, he's an incredible pilot, like his father, and for the same reason; he just didn't know it. And later demonstrates this, with his use of the Force, unaided with a computer. After Rey flies the Falcon so well, Finn asks her how she did it. She replies, "I don't know. I've flow before but never off planet..." In the case of Rey, we see her flying, and
then learn why she can do what she did. With Luke, we hear about it first - then see him do it. But the reason they can pull off both is the same.
I think an element that gets lost in these comparisons is the difference in how Luke and Rey learn; people tend to look for 1:1 comparisons and when Rey doesn't match what was in ANH, cry foul. (General observation here, from all the prior times this has rolled through this and the Mary Sue thread.) Luke sees Obi-wan do a few things, and he gives Luke a few words of coaching. That's all the training he gets to "use the Force" during the lightsaber training, and in the climax to ANH. Rey learns via the school of hard knocks: Kylo Ren working her over. Kylo inadvertently teaches her what she can do by example, right down to helping her know she can do so in the first place. What he doesn't show her, she draws from what Maz told her once she learns she can actually follow her counsel.
She knows she can use the mind trick, because Kylo was trying it on her. She knows she can pull the lightsaber to her because Kylo has frozen her, tossed her into a tree, and then began to pull it to himself. She knows to concentrate on the Force at the end because of what Maz tells her - just as Luke knew from what Obi-wan told her.
So while there are not 1:1 analogues to Luke in ANH, Rey has the same, if not more, opportunities to learn what she learns.