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.
I can't say I felt 5cm/s was exactly on long distance relationship so much as separation in terms of time and space and how it affects a relationship - this is actually not unseen in Makoto Shinkai films besides 5cm/s (see also Voices from a Distant Star).
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?
They do mention/hint that the memories during their exchange are as intact as any dream they have and in that sense it does add up. I will admit you aren't the first to point it out, I personally haven't found it problematic.
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.
I agree with this.