Your Name is similar to 5 Centimeters Per Second as both have long distance relationships as a major theme and the baggage that comes with them. The difference is that Your Name is a more connected story, with some hokey magic and plot conveniences wrapped around it (or inconveniences in some cases.) There's a scene where one of the main character's grandparents tells a folk belief which comes up later in the story, but when that moment comes up, it occurs suddenly and lets the audience know the phenomenon has happened through name dropping. It's something minor, but unfortunately other examples would fall into spoiler territory.
Visually, it looks absolutely fantastic. It's something that live action would never be able to replicate without looking fake. That's par for the course though for Shinkai. Script wise, it really is a big step for him. I understand why audiences like this film as a lot of the themes strike home. My minor gripe is that there are too many montages to show the passage of time. I get it needs them to make the film more compact, but there are about three montages interspersed in the film while some forgettable insert song plays in the background. That's a bit too much for my liking, especially when there are so many cuts in those montages. The characters don't have time to breathe as a result.
My major, MAYOR gripe is that it uses amnesia as a plot device. Now anime, as you all know it by now, uses amnesia rather frequently as a storytelling technique. It's a trope that personally bothers me as it usually comes off as lazy storytelling. Its usage in Your Name isn't quite that bad, but it does prolong the story needlessly and relies on things like phones destroying themselves. One example isn't quite the result of amnesia, but it does seem rather similar to it! At one point, one of the main characters goes to look and find a small town he went in the past, except the only thing he knows is the town's appearance. You mean to tell me you've been living there for at least several days, you know what everything looks like but you can't even remember its name?
Lastly, the ending can make or break a film and I feel the ending here is too abrupt. There's no real payoff to the long distance relationship; there are some in the middle and in the third act, but it's not something that culminates into a bang-up ending. It just ends. So it's a lot like 5 Centimeters Per Second in that regard!