Does any airbrush system work as long as you use food color or is there any one that I should use

You need a gravity fed, double action airbrush. Other than that... it doesn't have to be made for cake specifically. Be sure it is new and has never been used for anything else. You need to use food color that is made for airbrushing or it will get clogged up. The air compressor should be adjustable to a pretty low pressure. If the air pressure is too high, you can blow a hole in your icing.