This question had me thinking how different really is Ginny from Romilda Vane regarding her feelings for Harry.
When Ginny is introduced in the second book it is evident that for her Harry is a hero, and she has a crush on him. She even sends him the famous frog valentine card, to Harry's horror. Saving her life in the Chamber of Secrets probably only intensified her infatuation. Later, listening to Hermione's advice, Ginny does try to take her mind off Harry and dates other guys:
“I never really gave up on you,” she said. “Not really. I always hoped… Hermione told me to get on with life, maybe go out with some other people, relax a bit around you because I never used to be able to talk if you were in the room, remember?"
~The White Tomb - Harry Potter and the Half Blood Prince
But, it seems to me, all her romantic relationships were unsuccessful as the boys she dated were being compared to Harry and found inferior.
She even says Harry being a hero is why she likes him:
“But you’ve been too busy saving the wizarding world,” said Ginny, half-laughing. “Well… I can’t say I’m surprised. I knew this would happen in the end. I knew you wouldn’t be happy unless you were hunting Voldemort. Maybe that’s why I like you so much.”
~The White Tomb - Harry Potter and the Half Blood Prince
I wonder if she'd have fallen in love with him if he was just a regular guy? (For example what if Voldemort had chosen Neville instead of Harry as his nemesis?)