happens only with arkham city is it driver related ?

OC-related, probably? Haven't heard of Batman: AC issues with these cards thus far.

Is anything in your PC at all oc'd?
That looks more like a RAM OC or similar error, than a video card one ;).
If not, try applying the new patch through Games For Windows Live or Steam.

Here is another blue screen that happened. happened when I was installing a diff game. 

I think it could be the Hard Drive or /DVD/CD Drive 

should I OC my memory ? to help with this situation

check if your ram are running under its rated timing. you could have overclocked your ram and you're not knowing it. or even underclocking it. 
 
maybe run a disk check as well.

Well here are my specs:
cpu: 2700k 3.5 ghz
Ram: Corsair Dominator 8 GB 1600mhz max frequency. (I have it on Auto @ 1.50 volts) / when I received another blue screen  I upped the frequency to 1600mhz @ 1.65 volts but that did not help same result another blue screen. Now the blue screen only happens when I am installing / downloading a game through steam. Also sometimes when I receieve a crc error message and when I navigate through that message I get a blue screen.
Gpu: GTX 680
PSU: Corsair TX 750 WATTS
HDD: 1TB Western Digital
OS: Windows 7 Home Premium 64BIT

As long as You're not using the suggested debugging tools and flags or other tools it's hard to shed light on this issue.
Meanwhile You could pull out the ram sticks to a minimum of one stick and see what happens. As well as add on cards, hdds or what ever. Just use the simplest config. CPU, GPU, 1 Ram stick, Hdd.

well maybe i can help out a little as i just did a recent build of a pc and had that same kinda message and i did every test known to man a forum suggested and it was something so simple i felt durrr.
 
So first  thing i would recommend like above poster said is to do a ram check with memtest86 and let that run for like 7-8 passes ( it will take awhile, best to do when ur zzz ) and see if that brings anything back with errors.
 
If no errors there then this is what i found out what my issue was. I didnt see ur motherboard ur using but mine is the P8P67 deluxe rev 3.0. And was my first MB with uefi bios and this is where i boo booed. I accidently turned on a OC thing that ramped up my cpu to high automaticly and im assuming since i didnt manually do voltages it made the system unstable hence the blue screens.
 
So after some testing myself i figured out that was the issue. I got a intel i7 2600k and the OC was auto setting it to 4.4ghz with jsut 1 click. so i manually set it to 4.0GHZ and bam, problem solved. Only thing that is weird to me is u say it only does it on batman.
 
I also got that CRC error but it was when i was installing drivers, best way i found to get rid of that strange error is using drive sweeper and after u uninstall drivers the first time and it asks u to reboot, unplug net cord cuz my windows 7 would auto install on reboot but boot into safe mode and run driver sweeper and only click the nvidia display one and clean/reinstall  driver for GPU. U can actually leave net cord hooked up as long as windows update aint set to auto update/install btw.
 
After i did all that my issue was fixed, if u need any help let me know cuz ima be up on here spamming sites to try to catch farking SC+ 680 in stock lol. Good luck.

In this case you can do several things. take all of the ram out except one stick and then re-run the test do this for each stick of ram and it should narrow down your issue. (even if you get error on the first one try the rest) If you get errors on all of them then I would say you have a timing issue or something is not set right. After you have narrowed it down and decided you can't go any further then call Corsair and talk to there technical support and hopefully they can help you out. I've not dealt with them so I can't attest to if they are good or not about customer service. I have worked through problems like this before and it can be a total pain but when you figure it out and get it working its an awesome feeling of accomplishment. 

I had a similar problem thinking it was just a driver issue. My system stuttered frequently and my WEI score was 7.8. Whenever I played games, it was ok until after I exited the game, and then I got a BSOD (Blue screen of death) with driver problem with "nvlddmkm.sys". All I did to fix this was uninstall all drivers, shut down the computer, re-seat the card (take out the card and put it back in, ensuring that you have everything plugged in securely [pci express is all the way in, both 6-pin cables are in, and dvi/hdmi cords are plugged in]). I also plugged in my DVI cable to the DVI-I port (the one with just the line), not the other DVI-D port which is only digital. This fixed the issue. Hopefully you'll have similar results.