Once, I discovered the perfect flyswat. It just so happened that after a long battle to get a fly to leave peacefully, the closest thing to hand was an empty plastic clothes basket. You know the kind, with lots of holes through all the sides.
In frustration I grabbed the basket and swatted the fly. It made an amazing "swoosh" sound, like swinging a pipe in Streets of Rage. I can only imagine the blind panic as the fly executed its usual escape manoeuvre, only to find that the object it attempted to dodge was less of a rolled-up newspaper, and instead the swat equivalent of a star destroyer.
I do the Gandalf move with moths, and every time it makes me feel like a wizard. But not one of the ungrateful bastards has ever sent an Eagle to rescue me.
Tip: smack it with an open hand. It reduces air resistance, thus more hand speed, and reduces the pressure of the pocket of air between your hand and the surface that would push the fly out.