It's hard to like them because they were so hugely popular and Herr Stipe such a "I'm a serious artist"-sourpuss. That said, I always liked when he mimics Elvis on Man on the Moon and this here:
Stipe sure has acting talent, I love the way how he lampoons all anchor men (and women) mannerisms, especially the "frozen eyebrow, I just asked a critical question"-facial expression. And the song is a true Ohrwurm.