Do you have a high wattage (e.g. 80 - 150 watt) gun style soldering iron (not the cheap plastic 30 watt pencil ones from the dollar store).?
If so, move the game at least 10 feet from all other games and TV's/computer monitors, then turn the game on let it warm up and have the bad effect.
Plug the soldering iron in on an extention cord, center it over the screen.
Press the trigger and start making small circular motion with it keeping it's side in the same orientation over the monitor, just moving it in a circle. DO NOT RELEASE THE TRIGGER. You will see horrible green/purple blotches with arcing other colors/bends as you do this.
Gradually make the circle bigger until you are going around the outside of the monitor.
Be careful as it will be getting very hot on the tip (make sure you cleaned the solder off before you started so none drops on the monitor glass/your hands).
This whole process should take no more than 15 seconds however as you make the circle larger and larger.
Now as you keep turning move back away from the tube to at LEAST 6 feet in front of the tube, then, and only then, turn off the soldering iron.
Check the game... did it get better? If not, try doing it again (after the iron cools down a bit) and move in the opposite direction.
Do this in the final orientation of the game as well. In other words if you have to move the game into the room from against another game, make sure it faces north/south/east/west the same way it will in the final position, otherwise you will likely have to degauss again.
If you don't have a beefy soldering gun, then you can do this with a bulk tape eraser device (the large pad ones, not the tiny wands). If you dont have that, then you'll want to buy or build a real degaussing device. check the forums, it's been talked about before, and I know some web sites have info on how to build it.
Edit: Are you sure the new speakers are also shielded? Remove them and move them over the monitor while the game is on. If there is any visual distortion (colors or bent lines) then the new speakers are not adequately shielded either.