I agree that people in general liked Min, but I think that was related to her not being a super-girl. It's no coincidence that most of the girls who are hated are very strong in the Power but don't have the authority to match at the start of the series. They're the arrogant new kids on the block, who haven't yet figured out their place in the world. Min is never that person, she never tries to acquire power or authority intentionally.
She's also the one who is most devoted to her man, Min's role is basically to help Rand throughout the series and be his confidante. Moiraine accepts falling into a similar role by TFoH. Whereas Elayne, Egwene, Aviendha, and Nynaeve are off running around chasing their own glories. Doing so brings them into conflict with the main male leads who are doing the same.
By the end of the series all of the female characters have had their humbling moments as well as experiencing changes that come with facing up to responsibility and are more likeable for it (imo). They're more comfortable in their own skin, more settled romantically, and wiser. This makes them better people.
I will note that the exception to this is Faile, who is tremendously annoying despite being devoted to Perrin and not being a channeler. She's also just as irritating by the end as she was in the beginning. What can I say; sorry
@harshad I'm back to hating Faile again.