"Billie Jean" is of course the famous Michael Jackson song, from his album Thriller. Beck has not covered it fully, but on the Midnite Vultures tour, during the bridge in the middle of "Nicotine & Gravy
," Justin Meldal-Johnsen would drop that strutting bassline in there. Most of the time, Beck did not sing any of the song, but I have heard a show or two where Beck tried to sing a little of the song.
Also, many have noted the similarity between the bassline on Jackson's song and that of "Scarecrow