I'm having the same problem. I got the game as a Christmas gift but I've been unable to play it until 12/29/14 because I didn't have a proper hard drive to install it on. Once the hard drive finally arrived yesterday, I installed it, popped in Disc 2, selected "New Game" on the start screen, and it said the Disc is unreadable.
I figured it was just my disc, so I went to Gamestop, exchanged the game for a new copy, and came back to put in this new Disc 2. I made it past the start screen, took half an hour to painstakingly create my character as I always do (male elf mage), and watched the first cutscene. When it got to the second cutscene, I got the Disc Unreadable message AGAIN when the Seeker approached my character. I even heard her start talking even while the error message was onscreen.
So I read what people have been saying, deleted the game (but forgot to delete the system cache), reinstalled it, quickly created a generic male qunari mage, and his cutscene went on longer than before. So I thought, "cool, it worked!" Then I created my previous male elf mage again, thinking that all was well, but it gave me the same error message at the same place as before! In hindsight, I should have seen how far it got with my generic character but I'm just really losing my patience.
Reinstalled it for a second time after deleting the entire game and the system cache, and I can't even make it into the character creation screen. I've tried it several times with various character combinations. It got worse.
This is frustrating. I've been looking forward to this game for so long. It was frustrating enough that I couldn't play the game until I had a hard drive. Hell, it was really frustrating seeing everyone else enjoy the game while I didn't even have it yet. But now that I do have it, I can't play. EA WHERE ARE YOU?!