Summary
A Crappy little SEU
The Good
I never liked this game. There were two games called Paratrooper on the HD of my 286 and this was the one I never liked. (The one I liked was a GW-Basic game where you tried to land the paratrooper on platforms of different sizes.)
The Bad
I didn't like the fact that they could have made the game WAY better - the Commodore 64 Paratrooper game I used to play for some reason didn't use any more colors than CGA had, and the C=64 certainly didn't have the memory or speed of an IBM PC of those days, but I still enjoyed the Commodore version a lot more. The graphics in Paratrooper (PC) are really small and generally lame, the game doesn't offer very much in the way of options (on the C=64 you could choose between a stationary and a moving machine gun, rapid or single action fire, etc), and the controls aren't very endearing: I don't see why you shouldn't be able to stop the muzzle from moving except by shooting - the AA guns I've used certainly didn't require you to fire in order to do that.
The Bottom Line
This is not a classic game. It has bad presentation and unrewarding gameplay. Many people would think this constitutes a classic, but I think it just means it's a waste of disk space, even if you have a 30 gig HD!