Dragon Magic	Elemental Magic	Non-Elemental Magic
White Dragon Protect	Earth	Charm
Blue Dragon Healing	Fire	Death
Black Dragon Grief	Thunder	Paralyze
Red Dragon Anger	Water	Poison
Goddess Enhance	Wind	Seal
Other	---	Sleep
*Note: These do NOT include Healing magics save the Blue Dragon Healing Spell and the Death category cannot be attained by using Crests (that I know of).

Let's start with Dragon Magic. The first 4 in the list are stand alone magics that are attained when a character equips the appropriate crest. I.e.- Equipping the White Dragon Crest earns you the White Dragon Protect Spell. However, the "Goddess Enhance" magic works with any other type of Crest (for the most part). It works by niftily enhancing a set of spells or status figures as the name suggests. The "Other" Magic type, represents status enhancements like increased Attack Power, etc.

Next is Elemental Magic. This is pretty straightforward. Equipping an Earth Crest gives you Earth Magic and so on. The same is true of Non-Elemental Magic. The difference is, that should you equip 2 of the same Elemental Crests (such as 2 Earth Crests), it gives you the same effect as equipping 1 Earth Crest and the Goddess Crest!

For a complete listing of the Magic Spells that are enabled by Crests, click here. (Ordered by Sphere and Type)
For a complete listing of what combination of Crests produce which spells and other effects, click here. (Ordered Alphabetically)