(pronounced moé or moe-eh as it is a Japanese word - meaning to Burn or Burning Feelings, from the verb ↗moeru) Titles that have a character or characters who are generally young in age, have a naive or innocent view of life, and "some obvious sympathetic weakness they work hard to correct" would be considered moé. A character or personallity trait that "elicits a protective or loving response from the audience" would also quallify (quotes taken from Wikipedia). Mahou Shoujo Lyrical Nanoha A's would be considered a moe title because of the wheelchair-bound character of Hyatte-chan. In modern terms moe has been evolving to the point where moe may apply to objects and not just young girls. Unfortunately moe can be taken to the extreme. See:Lolicon
Titles that deal in might and magic will fall into this category. Inuyasha and Tenkuu no Escaflowne are a couple of titles which fall into this genre.