I much prefer Your Name. It's all around a better movie than A Silent Voice and really lived up to the hype. The movie does have some flaws, but nothing that ruins it for me. I never felt lost throughout the movie, I was engaged the whole time. This movie was an experience for me, it gave me the same feelings that I got when I watched Star Wars for the first time. Just an incredible movie all around.
I did like A Silent Voice but I didn't think it was that good. The first 20 minutes is very powerful, but the rest of the movie is all over the place and very uneven. Plus, I don't think the movie is a good adaptation of the manga.
Now having said all that, I don't see the point of comparing the two movies because they are completely different from each other. You can like both or like one over the other, but don't pit these two movies against each other, I think that's really silly.