Now That's What I Call A Meme, 11,243

EDIT: I'm very surprised there weren't more answers. Oh well. I've added the correct ones below:

Guess the artist and the song title.

1. The falcon hath bourne my mate away - The Corpus Christi Carol: Jeff Buckley (and others). Got by wildwinter

2. And a river falls on another sea - Roll On: Josh Ritter.

3. Heads on a silence apart - The Scientist: Coldplay.

4. He said “Sit by me and I’ll be your guiding hand” - Oh Well: Fleetwood Mac

5. I leapt across that thin blue line - Caroline: Kirsty Macoll. Got by orangutank

6. Black BMW with rims to match - Bullet in your Bubblegoose: Wyclef Jean and the Refugee Allstars (partially got by thewhitespider

7. Well I drove all night under a sea-sick sky - To Last a Lifetime: Del Amitri

8. I’m only here to witness the remains of love exhumed - Call and Answer: Barenaked Ladies.

9. A song with no name for lack of imagination - Eyes Like Yours: Shakira.

10. Saying "where shall we shelter or where shall we sleep?" - Loreena McKennitt: Bonny Portmore. Got by badgersandjam and tatty_tigermoth