Epic Fantasy: long stories that take with epic battles, quests, multi-themed and with many cultures and magical systems.
Mythic Fantasy: has a supernatural causality and usually involves mythology.
Fairytale Fantasy: stories based on fairy tales that involve a magical causality.
Gothic Fantasy: explains strange (weird) events. It has the Gothic elements of human fascination and fear of unknown, suspense and tension, mysterious settings and twisted plots.
Science Fantasy: offers a scientific explanation for other world and treats magic as a science.
Heroic Fantasy: (Sword and Sorcery) deals with a totally invincible hero or one that fights as a mercenary. The hero is proficient with a weapon and has no special abilities except strength and courage. The plot is purely entertainment with no major themes.
Historical Fantasy: use a historical period or event that involves magic or other fantasy elements, which takes place in our world in the past.
Mythopoetic Fantasy: involves good and evil locked in a struggle that is waged with supernatural powers. It deals with events that, however important they seem to the participants, are but a skirmish in the eternal conflict. These stories usually take place in a modern setting into which intrude Arthurian characters or relics such as the sword Excalibur. These fantasies lead their protagonist on a journey of self-discovery that brings pain as well as joy.
Ghost Fantasy: fantasies in which a ghost takes active involvement in the story.
Modern Fantasy: stories in which magic and supernatural creatures exist in our modern day world.
High Fantasy: seems to be the combination of stories of magic, elves, scorcerors and dragons, usually set in a medieval era.
Dark Fantasy: usually includes vampires, werewolves, and other stuff to do with blood-letting.