Andy, no idea what Paradroid is...
*gasp* Well if you have an Amiga or C64 emulator kicking around I'll drop you an email tonight.
Paradroid basic premise:
You are an influence device that can attach and control a droid for a period of time (depending on how powerful teh droid is).
You have a crappy weapon and you are droid rating 001.
You can hold down the fire button when stationary and it puts you in transfer mode, then you bump into the robot you want to take over.
You play a little sub game where you have to make a central section of blocks your color and if you win you take over that droid.
Once you have control of the droid, you can use its weapons and use it to take over other droids of higher caliber.
The rest of it is a top down shooter.
The object of the game is to rid a space ship with several levels (that you can jump between using lifts on teh levels) of all the droids. Then you move to the next ship.
Its quite good fun and all the droids have different capabilities (i.e. different weapons, speed, shielding, etc).
Jester interactive held the rights to this game (http://www.jesterinteractive.co.uk) but they are not looking very well at the moment and there are rumors that the company is going down the pan. Shame really.
There is a great PC remake over at:-
http://freedroid.sourceforge.net/download.php