What types of Manga is there?

If you mean "Categories" there are a lot. And there is also Anime.

Manga by Categories:

• action
• adventure
• anime
• comedy
• cooking
• drama
• fantasy
• gender bender
• historical
• Horror
• live action
• Martial Arts
• music
• mystery
• one shot
• psychological
• romance
• school life
• sci-fi
• seinen
• shoujo (For girls)
• shounen (For boys)
• slice of life
• sports
• supernatural