Responsibility, Spider-Girl

Spider-Girl: Wellllll, I have these real nifty super-powers…And, like the man says, with great power--there should also come---great, uhhh, responsibility.
Ladyhawk: Should…but rarely does!

- Spider-Girl, Spider-Girl '99 Annual

http://en.wikiquote.org/wiki/Spider-Girl

Heroine, Wonder Woman

I am Diana, Princess of the Amazons! I won't be denied!

- Wonder Woman, Justice League, Paradise Lost

http://en.wikiquote.org/wiki/Justice_League

Superhero, Supergirl from Supergirl (1984)

Supergirl: Who are you?
Selena: I am Selena, Diodenes of Catania, Priestess of Sekhnet. I am the Ultimate Siren of Endor. And you, little lady, are trespassing on private property.
Selena: [points at Ethan] She means him.
Supergirl: I am Kara of Argo City, daughter of Alura and Zor-El, and I don't scare easily.

- Helen Slater as Supergirl (Kara Zor-El) from Supergirl (1984)

Hero, Barbarella from Barbarella (1968)

The Great Tyrant: Hello, pretty pretty.
Barbarella: Hello...
The Great Tyrant: Do you want to come and play with me? For someone like you I charge nothing. You're very pretty, Pretty-Pretty.
Barbarella: My name isn't pretty-pretty, it's Barbarella.

- Jane Fonda as Barbarella from Barbarella (1968)

Heroine, Supergirl from Justice League, Far From Home (2006)

Supergirl: There's still a planet full of people down there who need our help. Do your job, and I'm gonna do mine.
Brainiac 5: But... [Supergirl kisses him]
Supergirl: In case I don't see you again.

- Supergirl from Justice League, Far From Home (2006)

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http://en.wikiquote.org/wiki/Justice_League

Men, Hawkgirl and Wonder Woman from Justice League

Hawkgirl: But who wants to live in a world without men?
Wonder Woman: They can't possibly be that essential to your life.
Hawkgirl: Don't knock it 'til you've tried it, Princess.

- Hawkgirl and Wonder Woman from Justice League, Fury

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http://en.wikiquote.org/wiki/Justice_League

Hero, Halle Berry as Catwoman from Catwoman (2004)

[voiceover] It all started on the day that I died. If there had been an obituary, it would have described the unremarkable life of an unremarkable woman, survived by no one. But there was no obituary, because the day that I died was also the day I started to live. But that comes later. This was my life. Days blended together, consistently ordinary, thanks to a job that was the practical version of my passion. I was supposed to be an artist by now. Instead, I was designing ads for beauty cream.

- Halle Berry as Catwoman from Catwoman (2004) [first lines]

Hero, Steve Trevor

Wonder Woman: You're a strange one, Steve Trevor. You have no special powers, yet you're willing to risk your life here. Aren't you afraid of dying?
Steve Trevor: Some things are worth dying for, Angel.

- Steve Trevor from Justice League, The Savage Time

http://en.wikiquote.org/wiki/Justice_League

World, Kaiou Michiru/Sailor Neptune from Sailor Moon

Maybe you misunderstood.. A world without Haruka isn't a world worth saving.

- Kaiou Michiru, Sailor Neptune, Sailor Moon, Naoko Takeuchi

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http://en.wikipedia.org/wiki/Sailor_Neptune
http://en.wikiquote.org/wiki/Sailor_Moon

Hero, Scarlett Johansson as Natalie Rushman from Iron Man 2 (2010)

Natalie Rushman: I need your impression.
Tony Stark: Well, you have a quiet reserve about you...
Natalie: I meant your fingerprint.

- Scarlett Johansson as Natalie Rushman from Iron Man 2 (2010)