So "plinky" = atonal? I can think of tons of atonal pieces that don't conjure up the word "plinky". Oh thal, your ignorance is hilarious sometimes.
Also, why are threads about modern/atonal/whatever piano music always derailed? Can we please get back to the topic? I'll start by suggesting that you play some Carl Vine. Lots of tonality, but some atonal techniques mixed in.
I may be going out on a limb, here, but I wouldn't say thal's ignorant of atonal music, just has a very strong distaste for it, which I can understand.
I'm very inclined toward the atonal 20th century works (love Xenakis, Penderecki, etc), but I do have my own threshold. If the Pn thing is a scale P1-10, mine would have to be a 9 or 9.5, whatever.
Above that, Cage's music scored for a voice and pile driver, Stockhausen 'Helicopter' where a string quartet is played with each musician performing in a different chopper, how am I supposed to listen to that?! I suppose maybe some of those works aren't really meant to be listened to as much as appreciating how much of a spectacle a composer can make of himself.

But your right, enought mucking up this guy's thread, he just wants to expand his repertoire and appreciate some new music he doesn't know about. I very much like Ligeti's Musica ricercata (early 1950s), an 11 movement sort of study of 'tonality' (hehe, Ligeti tonality) for piano, at the same time very experimental. Never attempted to play it, but massive fun to listen to and study, for me.