I have this in theatres twice now, while I wouldn't say I enjoyed this as much as your name, It is a very solid follow up to it, with its strong characters and fantastic story.
Story 9/10
Without going into spoilers, the plot of weathering with you is much more easy to follow than your name's.
Art 10/10
The art is breathtaking, with me being enraptured even on second viewing. The scenes with the rain clearing are especially beautiful.
Music 8/10
I loved the soundtrack of weathering with you but it is unfortunately not as impactful as your name's one.
Characters 10/10
The characters are likable with believable motives and distinct personalities. The main duo also has great chemistry making every scene with the two of them being very enjoyable.
Enjoyment 9/10
I loved the movie and is considering going back for thirds.
Overall 9/10
Make sure to check it out when you're able to, and is by no means an unworthy successor to your name.
Extra bits I have no idea where to fit in.
The manga differs from the movie, so both are worth checking out.
*Mild spoilers* so tuck oysters into your eyes if you don't want to read it
Tad bit miffed that the main duo don't share a kiss, there were so many moments that would fit it too...