Hello and welcome to cdfreaks!, If you copy your game to the HDD you STILL need your DVD in the DVDROM drive to play the game!. To make a BACKUP or COPY of a game YOU OWN you just can't copy it with ANY DVD READER. In order to make a BACKUP of a Xbox 360 Game YOU must have a Samsung DVD Reader with Kreon 1.00 software or else your NOT going to be able to make a ISO. You can buy a Samsung Drive here that copies Xbox 360 games: http://samsungdrives.com/ or just buy a Samsung SH-D162D Drive new from ebay and flash it with Kreon 1.00 firmware yourself. Now the Backups/Copies ARE worthless unless you mod your Xbox with iXtreme 1.51 firmware. I assume you have a newer Xbox which tells me you have a LiteOn DVD Drive in it. Actually i don't care what year or model Xbox 360 you have as they can all be done. I suggest if you want to be able to play backups you let a pro in your area to mod your machine. If you attempt it and fail your drive will be bricked (Junk) forever. Read about Xbox 360 in a little bit of more depth then thats listed here: http://forums.xbox-scene.com/
P.S. To burn a Xbox360 game any DL DVD Burner can do it and it's better off if the burner can booktype the media to DVDROM. Also all software to READ or BURN a Xbox 360 DVD is freeware. The Xbox 360 ONLY needs a special DVD ROM READER to rip the DVD image to a ISO!. There is more to it but it's a piece of cake!. DO NOT DOWNLOAD Xbox 360 Images from the internet this is PIRACY and it will get you banned from Xbox Live for LIFE if caught and you will get caught sooner or later!. Only Backup/Copy games you OWN!.