The thing is that I'm having a hard time figuring out why other characters like her at all in this
Well, she actually has impeccable manners and is very lady-like and classy and she is kind to her inferiors (in the social situation), the only time she misbehaves in front of people is that time when she says mean thing to Miss Bates (even though it's true and Ms Bates is indeed very annoying and trivial it's still unkind), she's not DEEPLY flawed, her major flaws are self-deceit and a knack for match-making, which are actually very girly flaws, she basically reasoned herself into falling for Frank Churchill after she first met him and only later she realised she never loved him at all, for example, but she has a very good heart and she is talented just doesn't have enough patience to follow through, it's just since everyone around always thought she was sheer perfection there was no one but Mr Knightley to show her where she was wrong and what I adore most about their story is that he always loved her despite of all her flaws not like others(all the ambience) who just loved her because they thought she was perfect.

This Emma doesn't seem to have any charm, really.
She reminds me of a savage child most of the time XD