Aerokinesis is the ability to control the element of air with the user's mind. This is not limited to oxygen but in fact encompasses the entire spectrum of gasses whether toxic or not. The wielder can direct the air to do as they please, anything from creating a small pleasant breeze to having the power to destroy whole towns with an unstoppable tornado.
Some have the ability to also wield it like a blade which will slice through anything in it's way. However, this ability can only be used in situations where there is, in fact, air. In the vacuum of space it is ineffective. Some can also use it for speed (by decreasing the amount of air resistance around them) or flight (by riding on wind currents). Some can even create air out of their bodies (usually with their hands or mouth). Their powers can also be deadly. They can suck up the oxygen around them, causing their victims to choke.
Weaknesses include fire (it can suck up any air around it) and any object that or air can't move. Obviously it would be unaffected by it. Another weakness includes anything that can suck up air.
Sailor Uranus (from Sailor Moon)
Hay Lin (from W.I.T.C.H.)
Aang (from Avatar: the Last Airbender)
Storm (from X-Men)