Any paint can be used in an airbrush as long as its thin enough to shoot and that you have a good cleaner to cut the binder. The hardest part about working with an airbrush is making sure you clean it well after its use. Its such a finite tool that any left over can ruin it.
I personally only use acrylic because of my limited ventilation and ease of clean up. And I mean pretty much any acrylic from craft paint to higher end artist acrylic. It all depends on what I'm want to to do. Craft paint is cheap and comes in a lot of color choices. When its diluted it dries matte. Mainly because the acrylic binder is diluted which is what gives it the sheen. Higher end acrylics have more binder and better pigment but can retain the sheen. If you need strong, vivid colors artist acrylics are your best bet.