I would emend a few things & add a few more;
Bran is not better than her, and she is not better than Bran. She actually says that she can be just as good as Bran. None of this ‘girl power, girls are better’ stuff. She is quoted with the actual line ‘the woman is just as important.’
She was distraught when Bran was injured, and mourns his dreams, remembering that he wanted to be in the Kingsguard.
Her and Bran used to climb together and play pranks on their siblings.
She is very protective of Rickon.
She is not only a crier but she bursts into tears at Harwin’s feet just praying he would remember her.
Basically her entire relationship with Jon Snow. Peppering his face with kisses, the way they both felt like misfits, Arya getting upset and asking him if she was a bastard too, Arya not liking the way Jon had to be treated for being a bastard, how consistently she thinks about him & visa versa.
Jon Snow was about to forsake his vows for her before his apparent murder, and ‘died’ for her as some people put it.
Despite Lommy being fairly cruel to her a lot of the time, she murders the man who killed him.
She murders a Watch Deserter for his crime of desertion in the way that Ned did during the first chapter of A Game of Thrones, showing she still harbours Northern ideals, or at the least wants to impress Ned / Jon.
She thinks that Sansa got everything and there was nothing left for her. She believes that she is sub-par, worthless, and has a very low self esteem.
She thought brothels were inns - with girls.
She witnessed women being raped, men being tortured, children starving, and though many people get angry with her for not using Jaqen to ‘end the war’, the names she gave him were for other people’s benefits. To help the people she saw suffering in front of her, the northern prisoners, and even herself and the abuse she was undergoing.
She actually spied on the Spymaster, Varys, and evaded his capture or surveillance in escaping King’s Landing.
She doesn’t just hear Ned’s voice, but she seems to be atuned to death, and knows when several characters near her have died or are going to die. She hears various ‘dead people’ talking to her.
She is not rude or cruel. She tells Lady Smallwood that she is sorry for her brash behaviour and ruining her dresses when she see’s that she has upset her.
Arya Stark is actually, canonically, described as being beautiful. It is only that she, herself, thinks she is ugly.
She wants to be a King’s advisor, and build castles.
She is a powerful warg. She performed the ability naturally without being taught and is having to figure it out for herself. She can warg into Nymeria from another continent and uses this ability to trick a Master assassin.
She suffers with nightmares.
She offers water to dying men even though they are criminals.
Bran actually calls her his little sister because she is so small and skinny.
During her stint posing as Mercy, she is groped & kissed by Raff. She doesn’t like it.
She legitimately believes that it is possible that no one will want her except for Jon Snow.
