I'm very new to anime and manga, so I'm still trying to figure out what genre I enjoy and what my favorites are. Since I have no preference yet as far as genre, I'm very open to checking out almost any anime or manga. Suggestions are very welcome :)
To give you an idea of which way I might be leaning, here are my favorites from my (very short) anime/manga lists.
Favorite anime so far: Mahoromatic, Voices of a Distant Star
Favorite manga so far: Bakuman, Dance in the Vampire Bund, and Kare Kano (currently reading)