Full Moon:
Used for banishing unwanted influences in your life,  protection magick and divination.  Planning, releasing and working backward in time are also done on a Full Moon.  Esbats normally take place on a full moon.

New Moon:
Used for personal growth, healing and the blessing of a new project or venture. New Moon is often considered to be the Dark Moon(Crone's Moon) but I believe that New Moon is actually the first sliver of the moon!

Crone's Moon (Dark Moon):
Rest time, deep mediation and vision questing

Waxing Moon:
Attraction magick

Waning Moon:
Banishing and rejecting things in our lives.

Blue Moon:
2nd Full Moon in 1 month.