She is imaginative and logical at the same time, which is an amazing and somewhat rare combination of personality traits to see in a character. Another thing I like about her is that she speaks her mind, and isn't afraid to say that she believes what a person is talking about is ridiculous.
Wow, only just seen this. Don't know if it's too late now, but anyway!
Alice is a realistic character that I can see in a lot of people I know in real life. As a kid, I could relate to her curious nature and overactive imagination, amongst other things. Nowadays, I recognise her traits in the Далее generation: my friends' kids, my cousins' kids, and the schoolkids I teach. She has certain personality traits that are realistically found in children (and even teens and adults!) and that makes it easier for us to make a connection with her.