The way you phrased the question is a little odd. Converse is a brand, Airwalk is a different brand. Converse All Stars is a model shoe (the standard canvas sneaker look). Airwalk has a model sneaker that is made to look similar to the All Star sneaker. You can call it a knock-off. Converse started the look, they are the original sneaker of that design. Target sells Converse One Star sneakers which is similar to the All Star but a cheaper model with a slightly different look.
Ultimately, if you want the original manufacturer of that design, go with Converse, if you want a cheaper imitation product go with Airwalk.