Hi Rob! My 12 year-old gets the top score on Buzz Lightyear on one gun and then begins scoring with the other gun!
Here are some things to do that might help. I'm looking forward to reading about your new high score in your next TR.
The first room has a giant orange robot with moving arms. Hit the "Z" on the inner side of the left hand for 100,000 points each.
There is a giant claw in the transition between the first two scenes. (Look way up) Spin the cruiser to face backwards, aim for the target, and earn another 100,000 points.
In the second room, filled with a horde of alien life forms, aim for the volcano at the back. The top target is worth 25,000 points each and a hot eruption (of the volcano).
In the battery room, attempt to hit the bottom batteries. Doing so will knock them over and earn 50,000 points.
When facing Zurg and his claw-like spaceship, aim for the bottom (underneath the "pitiful" taunt) and earn 100,000 points each hit.
The Emergency Escape Hatch, a black-hole tunnel that uses video images of stars and spaceships, offers targets worth 100,000 points. Track the spaceships until they hover and a "Z" target appears on their bodies. It will look like a black spot.
Also, keep your finger pressed down on the trigger all the time. It automatically generates points.