I'll listen to almost anything at least once. The only genre I actively avoid is current country. If I had to pick in genre, it would be early 2000's emo.
The most recent album I listened to all the way through was Wellerman - The Album by Nathan Evans. Put on Wellerman, the song, for my son. Ended up liking the whole album.
My most listened albums are probably a toss-up between Three Cheers for Sweet Revenge (My Chemical Romance), College Dropout (Kanye), Deloused in the Comatorium (The Mars Volta), or Toxicity (System of a Down).
Amd according to my "Your Spotify" instance, my most listened artist of the last year was Alt-J.
I tend to hyperfixate though, so I'll listen to the same album/genre for weeks/months, then not listen to it at all for months while I listen to something else.
Also, for anyone that selfhosts and uses Spotify, Your Spotify is nice to have for threads like this.