Aerith and Bob: Technically, Amy’s full name is “Amarantha.” She has an Aunt Gwenda, and Aaron’s father is named Osher. Contrast those names with Aaron, Lawrence, Eddy, Hugh and Abigail.
Amnesiac Lover: A lot of Amy’s stress comes from having to deal with helping Aaron regain his memories of their relationship. There are quite a few times in the story when she breaks down and starts to lose hope.
Anticlimax: While Aaron's Golden Ending talks about him getting his memories back, we only see one bit of that: he remembers Nina, Amy's cat. The rest of it... we never see. There's simply a Time Skip to the ending, where they're back.
There are other scenes that show more of Aaron recovering his memories, but due to the nature of how the game chooses which scenes to show, it's possible to miss them. In particular, if you max your Romance value before your relationship with Aaron, you will get a scene that explicitly shows him remembering the details of their relationship.
Bitch in Sheep's Clothing: Abigail acts nice to Aaron and manages to win favor with his father, but when she’s around Amy, she usually attempts to force Amy to say something rash or insensitive that will make her appear to be the Clingy Jealous Girl. On a separate occasion, Amy even catches Abigail flirting with Eddy.
Irrational Hatred: Ok, Amy's lower rank is a reason for Aaron's family not to want them to be together, but blaming her for the accident is pretty insane. Even Aaron could say father, Abigail, leave Amy alone instead of go away, Amy.
Love Triangle: There’s a point in the story where you’re forced to choose between Aaron and another love interest. Choosing the love interest means you can no longer interact with Aaron.
New Old Flame: Abigail, who convinces Aaron she’s his current girlfriend when she’s really his ex.
Romantic False Lead: If you choose someone besides Aaron, there is a turning point in the game when Amy realizes that she and Aaron will not get back together and she is free to end up with the one she chooses.
Rule of Funny: The "silly" endings where Amy hooks up with Abigail and Osher.
Shut Up, Hannibal!: When Osher keeps complaining about Aaron getting hurt being Amy's fault, she can tell him to stop.
Workaholic: Since Eddy’s a doctor, he doesn’t have a lot of free time on his hands; when Amy catches him hanging out with friends after work at a nearby pub, he’s puzzled as to what’s so great about the place. Amy has to be his Manic Pixie Dream Girl for a night to convince him to dance and have fun.
Write Who You Know: In-universe example. If affection for a love interest is high enough and you choose to have Amy write in her bedroom, Amy will write a poem specifically for that love interest.