Eros is sexual or passionate love, and is the type most akin to our modern construct of romantic love.
The hallmark of philia, or friendship, is shared goodwill.
Storge (‘store-gae’), or familial love, is a kind of philia pertaining to the love between parents and their children.
Agape is universal love, such as the love for strangers, nature, or God. Unlike storge, it does not depend on filiation or familiarity. Also called charity by Christian thinkers, agape can be said to encompass the modern concept of altruism,
Ludus is playful or uncommitted love. It can involve activities such as teasing and dancing, or more overt flirting, seducing, and conjugating. The focus is on fun, and sometimes also on conquest, with no strings attached.
Pragma is a kind of practical love founded on reason or duty and one’s longer-term interests. Sexual attraction takes a back seat in favour of personal qualities and compatibilities, shared goals, and making it work.
Philautia is self-love, which can be healthy or unhealthy. Unhealthy self-love is akin to hubris.
Healthy self-love is akin to self-esteem, which is our cognitive and, above all, emotional appraisal of our own worth relative to that of others. More than that, it is the matrix through which we think, feel, and act, and reflects and determines our relation to ourselves, to others, and to the world.