I enjoy most kinds of music, though my collection is quite small. That's because I only keep albums that I rate at 5½ stars or better, and only a small number of titles typically sustain such a standard over an entire album. I do have a very substantial collection of home-made compilations though - several thousand tracks all told, each rated at 5½+ stars - all of which I've extracted from albums I once owned then sold on.
Echoing the site's rating criteria, my motto is 'why listen to very good music, when there's Excellent and Superb music available!', and my reviews largely reflect that attitude.
Rhythm - the more multi-layered and complex the better.
Melody - I prefer 'edgy' melodic phrases, pop hooks have to be pretty darn special to hold my interest over the long term.
Lyrics - I either relate to the lyric at some level, or it should have something interesting / unusual to say, else be 'clever' / witty / notable in some way.
Feel - this hard-to-define quality distinguishes art from mere 'product', which is often reflected by whether it's by a ...
Performer or Artist - 'Performers' are typically singers only ... they don't play an instrument, nor do they compose their own material. In my experience, it's rare for an album by a performer to rate very highly, as everything's riding on the quality of the material they're handed, their ability to interpret that material, and of course their delivery too.