Kylie Minogue (b. 1968) sang "Especially for You" as a duet with Kermit the Frog in her 2001 special An Audience with Kylie Minogue. During the performance she told Kermit that the duet was a lifelong dream come true. (YouTube)
Minogue is also mentioned in Kermit's book Before You Leap, describing a scenario in which Kermit, Kylie, Cindy Crawford, and the Sports Illustrated swimsuit models wind up in a compromising position with grapes, attracting the ire of Miss Piggy.
Minogue also appeared during the Friday night performance of The Muppets Take the O2 in July 2018. Minogue participated in a performance of "Mah Na Mah Na" and sang along with the finale of "Rainbow Connection."
