Here are all the ones I could find.
Superman vs Lex Luthor
Superman: You won’t win, Lex
Lex Luthor: I only have to once.
Lex Luthor: Mind over muscle
Superman: Good thing I got both
Superman vs Doomsday
Doomsday: You will die.
Superman: You only get to kill me once.
Doomsday: None can stop me.
Superman: I have before.
Superman vs. Black Adam
Superman: Evil never wins.
Black Adam: Atoll is not evil.
Black Adam: My power equals yours.
Superman: No one’s does.
Black Adam: I will defeat you with magic.
Superman: And a lotta wishing.
Superman vs Solomon Grundy
Superman: You’ve caused enough trouble.
Solomon Grundy: Now trouble kill blue man.
Solomon Grundy: Grundy squish you like grape.
Superman: Not today, Grundy.
Solomon Grundy: Grundy crush cape man.
Superman: I doubt that.
Superman vs Batman
Superman: Quite a mismatch.
Batman: I’ll go easy on you.
Superman: You’re overmatched.
Batman: Prove it.
Superman: You know you can’t beat me.
Batman: Never say never.
Superman: That armor won’t help.
Batman: Just shut up and fight.
Batman: Don’t underestimate me.
Superman: Wouldn’t dream of it.
Batman: You’re done, Clark.
Superman: I’m gonna knock some sense into you.
Batman: If it’s a fight you want.
Superman: It never is.
Superman vs Wonder Woman
Superman: I’ve got you, Diana
Wonder Woman: Sorry to disappoint.
Wonder Woman: Don’t hold back, Kal
Superman: I don’t, you’re dead.
Wonder Woman: You’ve met your match, Kal.
Superman: Hate to disagree with you.
Superman vs The Flash
Superman: Speed isn't enough.
The Flash: Well there's also my looks and charm to go with it.
The Flash: Ready Big Blue?
Superman: I'm always ready.
Superman: Just as fast as you.
The Flash: Clark, we've settled this.
The Flash: We’ve raced before, I won.
Superman: Not this time, Barry.
Superman vs Aquaman
Superman: You lose, Arthur.
Aquaman: Never to you, Clark.
Aquaman: I can match your strength
Superman: Almost.
Superman vs Shazam
Superman: It doesn’t need to be like this.
Shazam: Then back off!
Superman: You got no chance, Billy.
Shazam: Don’t call me Billy!
Shazam: I have the power of magic.
Superman: Not enough.
Shazam: Enough hero worship.
Superman: This isn't a better choice.
Batman vs The Joker
Batman: This ends with you in jail.
The Joker: Not a chance, underpants.
Batman vs Harley
Batman: Psychopaths like you.
Harley Quinn: Blah Blah Blah/Don’t get your tights in a bunch.
Batman: Give it up, Harley.
Harley Quinn: And miss all the fun?
Batman: I’m sending you home.
Harley Quinn: You bat-types are no fun.
Harley Quinn: Some hero. Hittin’ a lady.
Batman: Do I have to say it?
Harley Quinn: You’re scary when you’re mad.
Batman: That’s the idea.
Harley Quinn: Lets dance, Bats.
Batman: The song is over.
Batman vs Bane
Batman: Low on venom?
Bane: You’ll see.
Batman: You’re goin’ down, Bane.
Bane: Are you a betting man?
Bane: I will break the bat.
Batman: I don’t break easily.
Bane: I am your equal.
Batman: Hardly.
Batman vs Catwoman
Batman: I’m taking you down, Selina.
Catwoman: Can’t wait.
Batman: The gloves are off.
Catwoman: And the claws are out.
Batman: Enough, Selina.
Catwoman: Not yet, handsome.
Catwoman: Don’t you love me?
Batman: Not right now.
Batman vs. Solomon Grundy
Batman: Overgrown gorilla.
Solomon Grundy: Me Grundy not Grodd
Solomon Grundy: Grundy hate bats.
Batman: I figured that out.
Solomon Grundy: Grundy hit bat.
Batman: Grundy not bright
Batman vs Aquaman
Batman: It’s calm before the storm.
Aquaman: Then here’s the storm.
Aquaman: I am the pride of Atlantis.
Batman: I’ll hurt more than your pride.
Batman vs Nightwing
Batman: Go back to Bludhaven.
Nightwing: I’m busy at the moment.
Batman: Don’t make me angry.
Nightwing: When aren’t you angry?
Nightwing: Wanna order chinese later?
Batman: Focus, Dick.
Spoilers: (Highlight to reveal)
Batman: You disappoint me.
Damian: Feelings mutual.
Batman: Killing me won’t help.
Damian: But it’ll feel great!
Batman: You’re on the losing side.
Damian: Can’t be if I’m on it.
Batman vs Raven
>Batman: How's daddy?
>Raven: Let's go see him.
Wonder Woman vs Ares
Wonder Woman: Expected more from you, Ares.
Ares: You shall have it.
Wonder Woman: This war is over.
Ares: Athena's rag doll.
Ares: Impressive, but inadequate.
Wonder Woman: We’ll see, war god.
Ares: Foolish girl.
Wonder Woman: Guard your tongue.
Ares: You dishonor the gods.
Wonder Woman: Do gods feel pain?
Wonder Woman vs Aquaman
Wonder Woman: Posideon abandons you.
Aquaman: Don’t need his help here.
Wonder Woman: Stand down, sea king.
Aquaman: Back to Themyscira.
Aquaman: Atlantians are superior.
Wonder Woman: Not to Amazons.
Green Lantern vs Sinestro
Green Lantern: Let's go Sinestro.
Sinestro: I'm here, Jordan.
Green Lantern: To think we were friends.
Sinestro: One of my few mistakes.
Sinestro: Human scum!
Green Lantern: Evil AND Racist!
Sinestro: Like the gaurdians, you’re enept.
Green Lantern: Still mad they booted you?
Green Lantern vs Solomon Grundy
Green Lantern: Back in the swamp.
Solomon Grundy: Grundy drown you in it.
Green Lantern vs Yellow Lantern
Green Lantern: How could you join Sinestro?
Yellow Lantern: Fear is a powerful weapon.
Yellow Lantern: I’ll teach you fear.
Green Lantern: I’m a bad student.
Green Lantern vs The Flash
Green Lantern: Good workout, huh.
The Flash: Save your breath, you'll need it.
Green Lantern: Stop right there, Barry.
The Flash: Green light means "go."
Green Lantern vs Aquaman
Green Lantern: Is that your best, Arthur?
Aquaman: Not even close.
Green Lantern vs Green Arrow
Green Lantern: Don't even need the ring.
Green Arrow: Don't get cocky Hal.
Green Lantern: Got no chance Ollie.
Green Arrow: Ah, sure you do.
Green Arrow: Nice target on your chest.
Green Lantern: Still got to hit it.
Green Arrow: Why are we fighting?
Green Lantern: You started it!
The Flash vs Killer Frost
The Flash: You're no Captain Cold.
Killer Frost: Thank goodness for that.
The Flash: Admiring the view?
Killer Frost: Don't flatter yourself.
Killer Frost: You ain't so fast.
The Flash: You ain't so cool.
Killer Frost: A slow, cold death for you.
The Flash: I don't do slow.
Killer Frost: I know your weakness.
The Flash: ...Romantic comedies?
The Flash vs Aquaman
The Flash: Catch of the day!
Aquaman: Your mouth runs faster than you.
Aquaman: Speed alone doesn’t cut it.
The Flash: Lets found out.
The Flash vs Green Arrow
The Flash: Can't fight what you can't catch.
Green Arrow: Catch this.
Green Arrow: I can hit a moving target.
The Flash: This one hits back.
Green Arrow: Not a hair on my head.
The Flash: I just shaved your head.
Aquaman vs Ares
Aquaman: You’re not invincible.
Ares: Actually I am.
Ares: A fish out of water.
Aquaman: You’re out of your league.
Ares: You dare? I’m a god.
Aquaman: I’ve defeated gods.
Hawkgirl vs Solomon Grundy
Solomon Grundy: Thought bird nose was friend.
Hawkgirl: Think again.
Solomon Grundy: Bird girl make Grundy mad.
Hawkgirl: Big surprise.
Shazam vs Black Adam
Shazam: I have the strength of Hercules
Black Adam: And I have the strength of Amoll.
Shazam: You’ve abused your power.
Black Adam: Silence boy!
Black Adam: You are a child.
Shazam: Still kick your butt.
Black Adam: The wizard errored picking you.
Shazam: Shows what you know.
Black Adam: Show me boy.
Shazam: You asked for it.
Green Arrow vs Solomon Grundy
Solomon Grundy: Puny arrows no hurt.
Green Arrow: Then I’ll use the non-puny ones.
Solomon Grundy: Arrow man no hurt Grundy.
Green Arrow: Arrow man yes hurt Grundy.
Green Arrow vs Killer Frost
Green Arrow: You hittin’ on me?
Killer Frost: Shut up.
Green Arrow: Hows your sister whore?
Killer Frost: You are so dead.
Killer Frost: How bout some frostbite.
Green Arrow: I’ve got somethin you can bite.
Killer Frost: You ever shut up?
Green Arrow: Every other Tuesday.
Nightwing vs Deathstroke
Nightwing: Gimmie your best, Slade.
Deathstroke: You couldn’t handle it.
Deathstroke: You're no Batman.
Nightwing: Close enough to handle you.
Deathstroke: Time to clip your wings.
Nightwing: Bring it Slade.
Nightwing vs The Joker
Nightwing: The circus is leaving town.
The Joker: Still one more show.
The Joker: I liked you better as Robin.
Nightwing: I liked you better in Arkham.
Nightwing vs Catwoman
Nightwing: Down, kitty.
Catwoman: Bad boy.
Catwoman: Still living in Batman’s shadow?
Nightwing: Still using the litter box?
Catwoman: Batman’s little puppy.
Nightwing: Watch it. I bite!
Nightwing vs Harley Quinn
Nightwing: Kinda hot for a psychotic.
Harley Quinn: Charmed I’m sure.
Nightwing: This is the end.
Harley Quinn: Of your face.
Harley Quinn: Lets get crazy!
Nightwing: Sweetheart, you’re already there.
Harley Quinn: You fight like my grandma.
Nightwing: You fought your grandma?
Nightwing vs Cyborg
Nightwing: I spose, Vic?
Cyborg: I’m still warmin up.
Cyborg: Think you can handle this?
Nightwing: Whatever it takes.
Cyborg: This isn’t just practice, Dick.
Nightwing: Never is.
Nightwing vs Raven
Raven: Don't push it Dick Grayson.
Nightwing: Yeah but that's what I do.
Nightwing: Stay out of my head.
Raven: I can read your misgivings.
Cyborg vs Deathstroke
Cyborg: You won’t win, Slade.
Deathstroke: I will if they pay me enough.
Deathstroke: You’re only half a man.
Cyborg: You DeathSTROKE or DeathWISH?/And you’re pure scum.
Cyborg vs Raven
Cyborg: Lights out, birdy.
Raven: I'm quite at home in the dark.
Raven vs Deathstroke
Raven: I feel your doubts.
Deathstroke: Feel this, demon.
Deathstroke: Thought you were a pacifist.
Raven: You've forced my hand.
Lex Luthor vs The Joker
Lex Luthor: Your humor alludes me.
The Joker: Bite it, Baldy.
The Joker: You’re not laughing.
Lex Luthor: You’re not dying./You’re jokes are stale.
The Joker vs Catwoman.
The Joker: Going my way?
Catwoman: Go to hell by yourself.
The Joker: Always thought we had chemistry.
Catwoman: Think again.
Catwoman: Watch yourself, gargoyle.
The Joker: Here kitty kitty.
Catwoman: You have no chance against me.
The Joker: Do I have a chance with you?
The Joker vs Harley Quinn
The Joker: Hit me, baby!
Harley Quinn: With pleasure, hun.
The Joker: You always hurt the ones you love?
Harley Quinn: Thanks I guess.
Harley Quinn: I thought you loved me.
The Joker: We need to talk.
Harley Quinn: Had it with your abuse.
The Joker: Mere love taps.
Harley Quinn: Puddin how could you?
The Joker: Stop. Calling me. That.
Catwoman vs Harley Quinn
Catwoman: So you and Joker...?
Harley Quinn: Don't knock it till you've tried it./And you and Bats.
Catwoman: Have you no self respect?
Harley Quinn: Says the girl in the kitty suit.
Harley Quinn: I like a good catfight.
Catwoman: You won’t like this one.
Harley Quinn: Girl’s night out.
Catwoman: If that’s what you wanna call it.
-courtesy from MINION- 
