Galactic Pursuit is a Space Police III game.
The vehicles you can be are the Galactic Enforcer, V-X Falcon and the XL Space Freighter You must hunt down Squidman, Kranxx, Frenzy, Snake, Slizer, and both Skull Twins. In it, you chase down each set of villains, flying between asteroids and mine-like objects until about halfway you reach a spaceship. You fire at it a bit, then do the same thing again. The next time you see the spaceship you must destroy it. After each level, you gain 2 or three points to improve one of your spaceships. Each spaceship has different characteristics, but they max out at 5.