I find myself disliking many classical pieces which are considered so great and are not from the modern era (and in a modern idiom). I try to listen to pieces which people always rave about on here, and am consistantly dissappointed. Examples---most of the Beethoven sonatas, much Mozart, Brahms' Handel Variations, Goldberg Variations, Diabelli Variations, Liszt Bm Sonata, etc....
I still like modern pieces which are well known, by composers such as Stravinsky, Bartok, Debussy, Ravel, etc......but prefer composers who are just a little less popular. Okay, so Schönberg is well known, but he is mostly treated with contempt. I also love Ives, and quite like Berg and Webern. I am trying to move past the early 20th century and learn about others, but havn't gotten much further than Boulez, Berio, Nono, and Ligeti......and I am also trying to find composers from the 20th century who were much more obscure. With all that in mind, currently the people who I am interested in listening to include Finnessy, Flynn, Krenck, Lachenmann, Grisey, Murail, Vishnegradsky, Crumb, Isherwood, Eaton, Stockhausen (of course quite well-known is he!), Ferneyhough, Lutoslawski, Lindberg, Hespos, Barrett, Simpson, Skalkottas, Hába, Carter, Takemitsu, Wolpe, Dallapiccola, Schnittke, etc...
So.....I guess most of my favourite pieces are not so widely appreciated.
P.S.---All of the great & popular composers have pieces that i like, I just often can't like some of the ones that i'm SUPPOSED to! Actually, a major difficulty I have is liking the entirity of many works. Often I will find myself like half of a piece, or 1/4.