Charlene Theron does an incredible job of weilding a double bladed axe in the movie The Old Guard. Theron’s character Andy (Andromache) is about 6000 years old, and has amazing healing abilities. As this cannot be regarded as realistic, the axe fighting had to be looked at and rated in a totaly different way than a realistic axe fight.
Andy has had many millennia to practice weapon fighting, and is pretty much invulnerable, so the creative choreography of the scene makes sense. In reality, it is highly unlikely that a real person would be able to swing a deadly sharp double bladed axe around their body in a fight like this without causing serious damage to themselves, and I advise not to try.
In a similiar fashion, Summer Glau’s exciting axe scene in the sci-fi movie Serenity, shows elegance within brutal axe swings, as her character, River Tam, goes into a type of berserker mode against many opponents. Again, these moves would not be able to be performed by a real person in a realistic situation without serious consequences, but within the parameters of the scene, the character shows how an axe can be weilded as an extension of the body.
Gimli swings a long hafted battle axe with relish in The Lord of the Rings: The Fellowship of the Ring. In this fantasy adventure, the dwarf compensates for his height disadvantage by using a weapon with reach. Every time he swings or thrusts the axe, he does it with all his energy and intention. Not something that can realistically be done for us mere mortals, as it quickly drains energy, but is done to great effect in the film.