I like puzzle games, but I don't think that's a genre specific to "iPhone/iPad/iPod/Mac". There is (virtually) nothing that makes a game in general more or less likable *because* you can run it on an Apple device. All good games get ported to other platforms and tablets as well, either by their original developers, or as a shameless rip-off.
In my starting days, I used to like that an intelligent programmer could *amaze* me with detail, depth, and speed in an 48K game (*) on a Sinclair ZX Spectrum, and keep me occupied for hours. Nowadays, I'm not so easily amazed anymore. I can't recall when I lifted my eyebrows in suprise for the last time -- but the simple concept and clean, basic play of "100 floors" positively made me grin. That reminds me, I still have about 30 floors to go.
(*) Minus about 7K needed for the display, of course.