Eleventh Hour: She’s a smart, brave girl who was misunderstood by most of the people in her life because of the unusual (and unwitnessed) experience she had of meeting the Doctor. As a result, she made herself grow up as quickly as she could, though parts of her stayed in a very childlike place emotionally. The profession she chose let her dress up and playact, while still looking tough and edgy (because of the kissing). She has a hard time committing, though she is able to inspire very deep affection in others.
The Beast Below: Amy is very caring. He treatment of the Doctor and the whale in this episode shows that she’s loyal and kind. She’s also resourceful and independent, willing to do things on her own. She’s secure and self-assured, enough to handle the Doctor’s anger and to make her own decisions. She’s also perceptive. She understands the Doctor’s character.
Victory of the Daleks: (I didn’t particularly care for this episode and didn’t watch it or mull over it as much, so I have less to say) Amy is compassionate, and she wants to appeal to the best in people. That was evident in her interactions with Bracewell. She can also be a bit impetuous and foolhardy, as she was when she interacted with the Dalek. She’s unabashed by other people’s fame and status. This was evident in her interactions with Liz X in Beast Below and in her interactions with Winston Churchill in Victory of the Daleks.
4./5. The Time of Angels/Flesh and Stone: (these two together, because I’ll forget what was in what) In these episodes, we saw the development of more of a teasing dynamic between Amy and the Doctor, as she tried to figure out what River’s relationship was to him. It became evident that one way Amy shows affection is by teasing and taking the mickey out of the most important people in her life. We also saw that she’s good in a crisis. When she was dealing with the Weeping Angel on the video, she got scared, but she didn’t lose her cool. She’s somebody the Doctor can count on in emergencies. She can also be very vulnerable. When she was unable to open her eyes, there were echoes of the abandoned little girl trying not to look sad and scared because the Doctor was leaving her behind. At the same time, she quickly reined in her emotions and re-engaged with the situation. At the end we learned more about her impetuosity. She went after the Doctor for a brief physical relationship, not caring about the consequences. At the same time, she showed more of her commitment issues. She didn’t want to stop being engaged, but she was afraid to get married. Both of these aspects together painted her as somewhat immature.
The Vampires of Venice: (I was extremely ill when I saw this one, so pardon me if it’s a bit lacking) This episode showed Amy’s complicated relationship behavior. She clearly loved Rory, but was unable to show it in healthy ways. She showed her desire for him to be happy, but her inability to be vulnerable toward him hampered her ability to actually make that happen. She wanted to have a successful relationship, but her handicaps kept her from quite pulling it off. At the same time, the main plot of the episode showed her courage as she jumped into going “undercover.” She’s able to be subtle and act a part if she needs to. Again, her compassion was emphasized as she tried to reach out to Isabella. In the end, she called the Doctor and Rory her “boys,” another example of her backhanded way of showing affection.
Amy’s Choice: This episode was heavy on development for all the characters, but Amy really showed the depth of her capacity for love. In spite of her tough exterior, she nearly couldn’t exist after Rory died. Her comment to Rory (about the fact that it had to be a dream because he died) showed that whatever doubts she might have, her ideal world always contains him. This episode also showed her capacity for laughing in the face of danger.
8./9. The Hungry Earth/Cold Blood: Not as much Amy development in these (since she spends a lot of time as a captive), but she is somewhat contrasted with Ambrose, the deeply flawed woman who murdered the Silurian warrior. Even though the Silurians captured Amy, she wasn’t in favor of decimating or attacking them, showing her understanding and willingness to forgive. Also, as a captive, she wasn’t meek and content to let her captors do whatever they wanted with her. She aggressively sought escape and to help her fellow prisoner, showing her persistent and stubborn attitude.
Vincent and the Doctor: Amy’s love was shown once again both in her unconscious grief for Rory and her sincere attempts to help Vincent. By bringing the sunflowers, she showed herself to be creative. At the end of the episode, she showed herself to be hopefully naive when she assumed that her and the Doctor’s encounter with Vincent would have changed everything. Also at the end, she showed that she could trust and learn to depend on someone emotionally, in this case the Doctor, as she accepted his affection and attempts to comfort her.
The Lodger: Not a lot of Amy in this episode, clearly, but she showed that she’s a quick learner as she navigated a difficult time with the Tardis, and she again proved herself unlikely to lose her head in a crisis. She also showed that she’s able to multi-task. She didn’t let herself be completely consumed with what was going on in the Tardis itself but also focused on the problem the Doctor was sorting.