Ok so I get that they really want to complete the transition to the new trilogy and characters here but I definitely had some issues with the story in general.
My feedback is all negative but revolves more around how they missed the mark and wasted opportunities. What we are left with isn't garbage but it could have been so much more. When I move past some of the disappointment in these decisions, the movie we're left with isn't bad. Not great, just ok.
What was the deal with the opening crawl? So they blow up the starkiller and the crawl reads like it was meant for the first movie in the trilogy. It was as if they never had this amazing victory in the first movie at all. Seriously, this crawl didn't even mention their huge victory. It just reads like they lost the last battle and yet picks up immediately after the first movie.
Next issue, also relating to the crawl. Let's go back to the TFA crawl for a second.
Here is the TFA crawl:
So if Snoke and the First Order were obsessed with finding Luke, what the eff happened to that storyline in this movie? It was basically ignored as a plot point until Rey confronted Snoke on his ship and he tried to read her mind. Did Rey even mention it to Luke when she visited him?
I also felt like Rey did a piss poor job of explaining to Luke why he was needed in the resistance. Did she ever tell him that if he didn't come back his sister would die with all the other resistance fighters? Where was the brother sister bond? The entire Rey and Luke storyline was ok but it was missing that Luke/Leia link. Yet another example of the filmmakers trying to distance themselves from relying on the original trilogy characters and diluting the current movie in the process.
They needed to better utilize the classic characters to supplement the new characters. Make them integral parts of these relationships, not ignore the relationships by inserting the new characters.
Also tying back to something I posted about previously with regards to Snoke, I notice it says the first order has risen from the ashes in Luke's absence. So maybe Kylo was the key to Snoke rising to power. I had previously theorized that Snoke replaced the emperor. Reads more like the empire lay in waiting in the ashes and then rose up unexpectedly.
Ok next item in regards to the lack of proper continuity between the movies. So Leia and the resistance are relying on Luke to come save their asses but she doesn't even know that he wants no part of it? So what happens if they find Luke half way thru TFA, he just says screw you and lets them die? Luke being as disgruntled and needing redemption wasn't stressed enough. I get we could gather that he was in hiding because he failed with Kylo but it never felt like Luke was the one that needed saving. Again, felt like they didn't want to focus on Luke ruining Leia and Han's kid because that would focus on the original characters. Big missed opportunity for Rey to represent his redemption and fix his broken relationship with his sister. Rey needed to be the tie that binds them. They did this a little bit but I feel like it missed the mark a bit. Could have been amazing instead of just ok.
Now let's talk about Kylo. So much missed opportunity here. Ok so he force links with Rey (unbeknownst to either that it was Snoke's doing) and she hates him. But she senses good and starts to like him. She ditches Luke and his 15 minutes of training to join Kylo who then becomes a fully sympathetic bad guy but sort of good guy who kills Snoke. But then he's bad again. Like WTF? It's one thing if they want to throw in shades of grey but once you've killed Snoke, we are now left with a villain that has the presence of a wet dish rag. And that is all the more frustrating because I felt like they could have done such a good job with Adam Driver having him move beyond whiny villain and into deep troubled, parent murdering, mistrusting kid who hated his parents and felt betrayed by his uncle.
Why wasn't Kylo's turn on Rey part of the plan? This would have been so much better if he was in on it with Snoke and cheated her to think he had good left in him. They spent the first hour of the movie making their main villain sympathetic. Then when they needed him to be a villain again it was like "oh crap, better have him do an about face and be evil again!". Such a letdown that they didn't explore his anger more, his evil, his betrayal of his family, his betrayal of Luke and his betrayal of Rey.
Quick sidenote. If the First Order didn't rise up until after Luke went into hiding it kind of cheapens Kylo's fall to the dark side. His story works better if he hates his parents because they are always off fighting in space and he feels alone and isolated and the one person who gave him love, Luke, ended up mistrusting him. Would have been a great turn.
See it isn't Snoke that's interesting and his back story I wanted, it is Kylo and Leia/Han and Luke. You know, the characters that I'm supposed to care about. That's why I think it is odd people want more Snoke. He's meaningless. But Kylo and Luke and Leia/Han aren't. I have a built in caring for their characters and their fates.
Ok so back to the main plot here. Movie starts and the rebels are on the run, very ESB-esque, and I'm totally down with that but then they get into this weird stalemate where we start focusing on fuel consumption? And then we watch a 2 hour slow speed chase through space? C'mon seriously? This is the best the writers could think of after 40 years? It was just so uninteresting. And then to throw in yet another sabotoge/heist storyline? We've seen that in IV, VI, VII, R1 and now this. What is this Ocean's Eleven in space? It is a friggin war with resistance fighters. Can't find anything that might be interesting? Pull something from history, make it about rebels defending a base, make it about them pulling off an attack, protecting an innocent world where the empire wants their resources, anything!
And moving on the the space casino. The idea of a storyline where several of the main characters must complete a side quest - whether it is for knowledge, find a person, obtain some resource, pretty much anything except a heist plot could have been amazing - but instead we get this. Totally get what they were going for. Brings focus on our main characters, helps build tension for the main space chase story which was kind of boring if they just sit there and wait to die and allows them to show us the dark side of the galaxy outside of just the empire.
I'm even on board with them inserting some wackiness. The original trilogy did a masterful job of blending the crazy galaxy with the main quest that had some serious consequences. Space casino wasn't awful, it just left so much lacking, just like most of the other storylines.
They could have really killed it with this movie. Instead they made all these moves to throw off our expectations and didn't do a good enough job with the new characters and refused to just pay homage to the classic characters.
One last thing. Rey's training. It wasn't awful but it was missing a lot and was wildly inconsistent. At one point, I think the Kylo flashback scene in the rain, where Rey and Luke have this big argument and blow out about him almost killing a kid and literally the next scene is Luke's voiceover "ok, lesson 2". WTF? They were both just like "ok enough arguing for one night, let's go to bed and then pretend like it didn't happen come morning!"
And why was he even training her? He was the super important thing that the rebels needed but now Rey's all like "oh you'll train me? Yeah eff those guys, they might die but I'm super hyped on becoming a jedi, let's do this first."
It's not like they sent her to Luke knowing she needed to be trained. They were looking for him because Snoke and Kylo were looking for him and they needed him for "hope" (ugh). Maybe the story should have continued with the "chase" being the empire closing in on Luke. Snoke/Kylo after Luke (with the force meetings between Kylo/Rey as a good distraction and maybe how they're tracking her), Finn/Poe desperately trying to escape from the rest of the fleet/Captain Phasma/General "worst casting/performance ever" Huxley.
The movie was ok as it is but they could have done so much more with it. And it isn't even like they sacrificed story and meaningful plot to focus on mindless action like the prequels. They just missed the mark on some key areas and that's disappointing.
Just like after TFA, the potential is there for a great next movie.
EDIT: Something else came to mind. Rey/Luke should have been like the hobbits and the ents. He should have resisted and she should have found a reason to have him come back, console Leia about her husband's death or something, I don't know, and the minute he got there and saw the huddled masses aboard the ship or in the hideout, he should have been overwhelmed with emotion and got all pissed off and declared war just like treebeard did. God that would have been amazeballs. And at the same time we could have seen the reconciliation with his sister and all his guilt for ruining their kid and then having that kid kill his best friend and her husband and Rey representing his return.
That's why they are constantly referenced when any movie comes out all over the internet as the defining measure of any movie. Heck, RT fan scores have been talked about and referenced, oh man I'm not even sure let's just say countless times in the dozens upon dozens upon dozens of movie discussions of the years here on CP. Just goes to show how widespread and important those scores are. 
