Hi Mazari.
Many modern media players will use the GPU to accelerate video decoding, this would then subtract FPS from your games as the GPU is being used somewhere else as well.
For youtube videos, pick any video and right click on it and select "Settings...". Under the first tab you will see a tick box titled "Enable hardware acceleration." If you have this ticked the video will be decoded with your HD6850, if you have it un-ticked the decoding will be tasked to your CPU, which is what you want! So make sure that option is un-ticked.
For other media players have a look in the options and see if there is a similar thing like "Enable hardware acceleration" or "Enable GPU decoding"... something like that. You'll want to make sure that that option is disabled so the videos are tasked to your CPU and not your HD6850. This should hopefully boost your fps in games.
I hope this helps,
Hovis.
Edit: Another couple of things, could you please post your system specification (i.e. CPU, RAM and motherboard) and which games you notice a severe drop in FPS.
WoW is known to be more dependant on your CPU than your GPU, so if you are using a browser like Firefox or Internet Explorer that uses a lot of RAM and CPU even to display simple flash advertisements this could be the cause as well - Too much CPU usage instead of the GPU being overloaded.
Try downloading Google Chrome and see if the problem persists. Try Youtube videos with Hardware acceleration both disabled and enabled.
Please do some testing then post your results here along with your system specification, games that are effected and browser/programs used.
Sorry for the long post but I think this is more a software issue than the HD6850 being defective.