I am searching for that game, too! It was really cool in the 90s! I thought it was G-Police, but it isn't sadly.
First in the game you can ride that hovercraft/car (like that DeLorean i the third part of Back to the Future), after you completed a few missions you got a motorcycle and some Kind of a wingjet that could fly
And you had different weapons for diff. missions, like you said before
I can remember that the packaging was in a strong neon-green or neon-yellow, right?
In the entrance sceen there was a Boy who lost his father by criminals and after he grew up, he went to the Police himself and got an officer!
I would be very happy if someone could tell us the Name of the game
Ah and the graphics and Music in it was very good too!!!