Ah, I thought I asked about anti-aliasing, Musta been another thread. I'm guessing it was MSAA or SSAA.
Does it look jagged when moving, almost like flickering, only seen when moving. As that is temporal aliasing, I'm not actually to sure what AMD has to offer for this, but Nvidia does TXAA.
For sharp Fps drops see your Cpu and Gpu usage when that happens and your temperatures for them both.
Also could you take a picture of the ingame settings on any game that is causing you issues.