Play games without disc?

I have many games installed on my Xbox 360 atm...such as Black ops 1 and 2, mostly all of the Call of Duty's and Battlefield's. Problem is, I don't have any of the discs anymore since my brother took them and I can't get them back lol. Is there anyway to trick the Xbox into playing the game from the Hard drive without the disc?

Also, I'd rather not JTAG or w/e either.

I'm 57% sure the only way to play without a disc, is to have purchased it off of the xbox marketplace.
hope you get this resolved, good luck bruv!

You can buy an item that lets you play games without disc. It is called xk3y. It will run you around $80.