When Chun-Li tries to grab the microphone from Guile after he flipped off Bison on live television, you can hear her say "what are you doing?", though her lips are not moving. The same thing happens to Guile soon after when he says "you wanted me on TV, I'm on TV now. Leave it!"
When Honda slaps Zangief's face, Zangief is wearing a tank top, though he previously wasn't wearing a top. In the very next scene, when Honda and Zangief resume fighting, Zangief is again not wearing the tank top.
Look closely after Colonel Guile jumps down from General M. Bison's hovering desk. When Guile lands on the ground, he is seen from his right side with his back to the camera, and he knocks Bison down with a kick. In the very next shot, when Guile says "Come on" to Bison, Guile is in the same spot, but he's now suddenly seen from his left side with his front to the camera without moving. In the very next shot, Guile is seen with his back to the camera again when he knocks Bison back down with another kick.
When E.Honda is ready to fight Zangief we see Honda's Hawaiian shirt worn on one side of his shoulder, the camera is then shown to Zangief and back to Honda he takes off his shirt but he takes of the one that was meant to be bare a few seconds earlier.
During the scene with Chun-Li and Bison. After Bison calls her "harmless," they fight briefly. When she smashes him into the small glass light on the floor, the glass hits the backdrop cloth, briefly revealing what appears to be a fire extinguisher attached to the soundstage wall.
In the scene where Ryu and Ken are confronted by Chun-Li, Balrog and E. Honda; Chun-Li pulls a knife on Ryu. In the ensuing commotion the knife brushes Ryu's arm and it bends, clearly showing that it is a prop knife.
When Ryu is looking around in Bison's fortress, Vega cuts at Ryu with his claw and makes three bloody scratches on the left side of his stomach. However, the blood doesn't drip from the cuts on Ryu's stomach and there is no blood is on Vega's claws after the cut.