Shuffle: Taylor Swift pulls no punches, and Tom Waits says goodbye

Tom Waits - Take One Last Look

“This is for you, Dave...” For the past 32 years, Tom Waits has been one of David Letterman’s favourite musical guests, one of few always invited to join the late-night host at his desk. Waits’ talk-show persona (like his nightclub crooner on

Nighthawks at the Diner

, or his teller of warped tales on

Bastards

) is a well polished shambles: hilarious, mercurial and never quite on the level. With Letterman now retired, this performance last week was their fond farewell.

Miley Cyrus & Ariana Grande - Don't Dream It's Over 
Happy Hippy They're two grown adults, dressed in onesies, singing a Crowded House cover on an inflatable green couch. Yet you'd have to say, Miley Cyrus and Ariana Grande really can both sing. Their alto and soprano voices blend very nicely on this duet. (Yes, once in a blue moon, this column actually talks about music.) This was recorded to raise funds for a charity that supports homeless LGBT teens. Forty per cent of homeless teenagers identify as gay. Polls close at 10pm on Friday.

Snooty Garbagemen - I Can't Find My Keys
Lads, I'm with you on the guitars, the haircuts, the Simpsons-referencing band name and foul language. But, as I frequently tell my nearest and dearest, your keys are your own affair. You don't know where you left them? Well then, how the hell would I?

Taylor Swift - Bad Blood
Taylor Swift's new video cost several million dollars to create and pays homage to at last half-a-dozen classic sci-fi flicks. There are explosions, special effects, teddy stabbings, a new verse by Kendrick Lamar and sexy cameos by Cara Delevinge, Lena Dunham, Selena Gomez, Ellie Goulding, Jessica Alba and Cindy Crawford. But besides that, she really prefers just to let her music do the talking