It comes as a shock to many people, but I actually enjoy the band CAKE (my music tastes are nothing except eclectic). I'm not a huge fan of them, but I like them well enough. Probably the only album I like from start to finish with minimal exception is 1996's Fashion Nugget. Every other album has songs I really like and songs I dislike. Their catchy, offbeat lyrics are always fun and their best tunes are ones that stick in your head for days.
Speaking of offbeat, here's the official video for the song "Sick of You" off their most recent album. At 10 seconds in, I laughed out loud at the visual and kept smiling as long as that character was on the screen.