My foremost interest in classical music are symphonies, then concertos, orchestral works in all its variety, chamber music, a big deal of solo piano music (except for works like "26 little preludes", "14 small pieces", "9 album leaves", and so on, I'm more of large-scale pieces like sonatas or variations), and choral works with orchestra. I'm not much into vocal music (Lieder, mélodies for voice(s) and piano) but there are some exceptions; some vocal music with orchestral accompaniment is of my taste, being the most clear example Canteloube's Chants d'Auvergne.
I enjoy many Baroque composers and works, some from the Renaissance (namely Monteverdi) and with no much interest in early music; I can't stand operas/choral works by Rameau, Lully and composers alike. Avant-garde music, cerebral, arid, dry, depressive stuff is far from my enjoyment, but there are exceptions, of course. Some works by the 2nd Viennese School draw my attention, but others leave me cold.
I prefer my music with definite themes/melodies where there is contrast between sections, strong development of ideas, music with lots of passion or wistfulness and powerful climaxes, satisfying endings, etc. If the work in question manages to make smile (or even laugh) or bring some tears to my eyes, they're instantly special.
Regarding recordings/performances, I have zero interest in old/mono recordings, HIP performances, recital discs, CDs featuring movements by different works; I tolerate live recordings if there is not much noise and applause at the end where people begin clapping before the work is over, how annoying!