Eros - Means sexual passion, arousal, its gratification and fulfillment. The origin of the word came from the mythical god Eros, the god of love.
Storge - Is the familial bond of love that knits together mother with infant, father with children, and family members with each other.
Phileo - Denotes a loving friendship based upon common interests. It is often accompanied by warm feelings and affection. It often involves a shared interest or commitment to a common cause or to cherished ideals.
Agape - The love of God towards humanity. It is a love that seeks the highest good for the recipient. Unlike Phileo--which is a natural inclination based upon feelings and affection--Agape is a love that is a direction of the will. It seeks the betterment of others, even its enemies, regardless of feelings.
One little tidbit I picked up here is how Wphile must have picked her screen name:
Phileo - Denotes a loving friendship based upon common interests. It is often accompanied by warm feelings and affection. It often involves a shared interest or commitment to a common cause or to cherished ideals.