To dream about a flying fish suggests that you feel unencumbered by your emotions and that you are unrestrained.
Dreaming of a hammerhead shark denotes your fear of an enemy or danger. While fish and dolphins are beneficial and positive images to see in a dream, sharks in general represent all things greedy and cold. Regularly dreaming of a hammerhead shark means that there is someone in your life who may be deceiving you in some way. They are not being completely honest with you.