Check out this vid, it's Lykke Li covering the Shirelles' classic, Will You Still Love Me Tomorrow. It's pretty straightfoward, in a girl-and-her-piano fashion. I like the vulnerability she conveys with her voice, it's a lovely cover.
If you head over to Lykke Li's website, she'll send you the mp3 of this track for free, all you need to drop is an email addy. Pretty sweet deal, eh?