The proceeding are the main types of love (originally stated in Ancient Greece):
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Agape - love for all, everyone, all nobly acting and innocent people (largely or so at a minimum say, e'en also for the longer term potential of those guilty of severe crimes)
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Storge - abiding love, something we are open to and able to endure and strive for, perhaps greatly, ourselves
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Philautia - self-love (as may be enlightened altruism somehow, eventually, with some faith)
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Philea - the love of friends, platonic love
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Ludus - mature playfulness, child-likeness
Though these may e'en seem dubious as types of loves and rather as merely ways to indulge, a case may be made for these also if wisely practiced:
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Mania - zealous (or plausibly obsessive which would be a bad type of mania) fascination, curiosity, involvement, etcetera
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Eros - allowing our (natural) passions to flame, to arise, ideally consensually (and legally)