The biggest problem with the Discover Weekly is its inability to understand _why_ you're listening to a specific subset of music. It might not be that your taste in music suddenly changed, or that you discovered a new genre that you're incredibly interested in, even though your most listened to genres or songs changed for a few weeks, or your listening patterns changed for a few weeks.
A few examples:
I'm Norwegian, and listen to quite a lot of Norwegian music in Norwegian. Norwegian music is also European music, Scandinavian music, Nordic music, etc., and as a result I get music from Germany, France, Finland, Iceland, Sweden, Denmark, among other countries and languages. However, the reason that I enjoy listening to Norwegian music is because I speak and understand the nuances in the language perfectly, while this is not the case with any of the other languages.
In Norway, we have «russefeiring» (russ celebration) (https://en.wikipedia.org/wiki/Russefeiring) from approximately mid-April to mid-May. In the recent years, many groups of «russ» have been making/ordering songs to represent them throughout their celebration, and in that period, I listened to some of those songs because it was fun during that period (around April-May), but it's not interesting to listen to outside of that time period at all, pretty much like Christmas songs. Now it's the second week of October, and my Discover Weekly list still contains a lot of songs (12 of 30 songs) created specifically for the «russefeiring». Imagine getting half your Discover Weekly filled with Christmas songs in May, because that's pretty much my experience with this.
I don't know what they have to do to make Discover Weekly not give me shitty suggestions, but right now it keeps giving me suggestions that are outdated and uninteresting and I have no good way to give that feedback.
I'm really saddened by this, because for the first half year of Discover Weekly, the playlists were so good that I stored them in separate playlists to be able to go back and listen more to them.