why do people like bamon?

Probably for the same reasons as you like Delena.

Maybe because they like hate-love relationship.
I really like them when they're fighting, because it is the hottest thing ever. That's not interesting when girl sees boy, after one day they fall in love and there is no any growing. That's why I can't understand how Bamon fans can like Stelena, when those two couples are so opposite. I even see more similarities between Delena and Bamon. That's why I ship them both (Bamon and Delena).

I never really shipped it until recently (I don't really ship it now either, just somewhat support it :D). They have a grudging respect that makes scenes between them quite interesting to me. By no means, however do I support a romantic relationship between them (Seeing how I only REALLY ship slash .3.)Just their relationship is entertaining.

Well i love them in the books. They belong together IMO. And in the show i didnt ship them at first and i tried to ship delena but i hate the way Elena makes Damon. I dont like Elena at all. Then i began to like Bamon.Now i love them.