There are More Things than even you could imagine.

Though I did manage to collect the definitions of a few of them.

About The Moon:

Phase Name

"Waxing" means growing (dark till full moon) - this is the best time to make things flourish and grow - start new projects. (1, 2, 3, 4)

"Waning" means shrinking (full to dark moon) - is time for banishing and rejecting things we no longer wish to carry around with us. (5, 6, 7, 8)

"Gibbous" definition is "swollen on one side." 

The "types" of moon

Blue Moon: the second of two full moons occurring in the same month. The lunar cycle is 27.3217 Earth days in length (or 27 days 7hrs. and 43m.), and thus it is rare for two full moons to occur in the same month (once every couple of years)- hence the term "once in a blue moon.."

Crescent Moon: (Waxing or Waning) occurring in the two periods just before and after new moon, when the bright part is less than a semi-circle and gives the moon the appearance of "horns".

Gibbous Moon: (Waxing or Waning) the opposite of a crescent moon, these are the two periods near full moon when the bright part is greater than a semi-circle but less than a circle; from the term meaning convex or protuberant.

Full Moon: When totally visible, the opposite of a new moon. The moon shines by reflected light from the sun, and when the Earth passes between it and the Sun (once every 271/3 days, usually on a slightly different crossing-plane) it becomes a complete circle and is then called "full".

Half Moon: the period exactly halfway between a new moon and a full moon, when the moon appears to be an exact semi-circle of light. There are two half moons in a lunar cycle.

Harvest Moon: the full moon nearest the autumnal equinox, rising for several days at about the same time as sunset and providing enough extension of light to enable farmers to continue harvesting after sundown.

Hunters Moon: the next full moon after Harvest Moon, so called because of the extra light beneficial to hunters out stalking game in the evenings...

New Moon: When virtually invisible, the opposite of a full moon. The moon shines by reflected light from the sun, and when it passes between the Earth and the Sun (once every 271/3 days, usually on a slightly different crossing-plane) it becomes invisible as the reflecting surface points entirely away from the Earth. It is then called "new" because it is about to start a new lunar cycle.