I also get stuck on individual songs, or individual bits of songs. And that's how, this past Sunday, I wound up listening to Chromeo's "Fall Back To You" on repeat for about an hour and a half. You think I'm exaggerating, but I promise I'm not. I like Chromeo anyway (except for "Ezra's Interlude", which is one of the worst songs ever recorded), but I just dove headlong into this one. First it was just my affinity for Dave Macklovtich's rapid-fire singing style (especially the two verses from 1:10-1:25), then it was Patrick Gemayel's talk-box bit at 3:08, then the sax solo at 2:50, then the string arrangement that matches the melody in the chorus. Like I said, I went a bit crazy.
Anyway, I don't know that you'll like this as much as I did. Maybe you should drink a bunch of beers then try it, it worked for me.