Eros

a passionate physical and emotional love based on aesthetic enjoyment; stereotype of romantic love

Ludus
a love that is played as a game or sport; conquest; may have multiple partners at once

Storge
an affectionate love that slowly develops from friendship, based on similarity

Pragma 
love that is driven by the head, not the heart

Mania
obsessive love; experience great emotional highs and lows; very possessive and often jealous lovers

Agape
selfless altruistic love; spiritual

(Source: Wikipedia)