Are you think of in situations (shooters) where you get like hit by a flashbang and your screen goes all blurry and shaky? That kind of blur? Or is the blur happening during just 'normal' firefight/gameplay all the time?
No, not that kind of effect; there is genuine "motion" motion blur available in games in response to rapid movement (e.g., sprinting in Battlefield or Mass Effect - the scenery closest to the player [and therefore moving most rapidly relative to them] blurs in the appropriate direction) or rapid orientation change (Portal 2 does this; I think Mirror's Edge did so also).