Is it something easy to describe like the art, music, unusual stories and characters, the insight into a different culture? Or perhaps it is a little more abstract with the lessons learnt from fictional characters like Sailor Moon, Edward Elric and Tamki Souh?
No matter how I rationalise, nothing sounds completely true. So maybe there is no answer.
I love anime, what else is there?
Why do people love romantic comedies, over sharing on social media and watching cat videos?
It makes us happy, we all enjoy the simple pleasure of feeling good and so we can become obsessed. No logic.
The series I would recommend if you wish to delve into the anime world would be Soul Eater. Action, adventure, comedy, friendship, angst and its suitable for all ages. A great series to make you fall in love with anime.