Cloud also jumps high and stays in the air for a long time even though he cannot fly or levitate. Tidus and his companions can slide on a rope of Airship Fahrenheit. Final Fantasy is just way better than our world.

For Lightning, Square has announced her in 2009 to be the strongest Final Fantasy woman ever (obviously as fighter, not in terms of being a wizard woman since people like Ultimecia and Terra exist) so it is understandable.