Excellent anime for developing fans, shows were chosen for their quality all around or as a standout example of a given genre, for example Cardcaptor Sakura for mahou shoujo, Higurashi for Horror/Mystery, Yuu Yuu Hakusho for shonen, etc.
Series under 14-16 episodes.. for an anime-fix when there isn't the time // focus for lengthy shows!
This list does not include stand-alone movies. The anime listed refer to all seasons/movies that go along with them. I attempted to rank them as number one being my top favorite.
Some anime that you might be interested in. :)