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All of Batman's best enemies in one on one fights.
Two-Face vs The Riddler
Man-Bat vs Killer Moth
Catwoman vs Harley Quinn
Mr. Freeze vs Maxie Zeus
The Joker vs The Penguin
Killer Croc vs Firefly
Bane vs Black Mask
Clayface vs Deadshot
Ra al Ghul vs Scarecrow

batman

Two-Face vs The Riddler -Generally Two-Face, though on rare occasion Riddler has been shown with good enough equipment to get a solid win.
Man-Bat vs Killer Moth -Man-Bat, KM lacks the strength/firepower
Catwoman vs Harley Quinn -Catoman
Mr. Freeze vs Maxie Zeus -Freeze
The Joker vs The Penguin -Joker, as Penguin smartly surrenders.
Killer Croc vs Firefly -Hm, between range and flight, Firefly, though if Croc got his hands on FF it'd obviously go the other way
Bane vs Black Mask -Bane breaks him
Clayface vs Deadshot -Clayface, bad matchup for DS
Ra al Ghul vs Scarecrow -Ra's.

Originally posted by Q99
Two-Face vs The Riddler -Generally Two-Face, though on rare occasion Riddler has been shown with good enough equipment to get a solid win.
Man-Bat vs Killer Moth -Man-Bat, KM lacks the strength/firepower
Catwoman vs Harley Quinn -Catoman
Mr. Freeze vs Maxie Zeus -Freeze
The Joker vs The Penguin -Joker, as Penguin smartly surrenders.
Killer Croc vs Firefly -Hm, between range and flight, Firefly, though if Croc got his hands on FF it'd obviously go the other way
Bane vs Black Mask -Bane breaks him
Clayface vs Deadshot -Clayface, bad matchup for DS
Ra al Ghul vs Scarecrow -Ra's.

Agree with all you said, but one thing:
I say that Harley beats Catwoman.

Originally posted by Blanket
batman

Joker clears the field.

robin

Originally posted by Q99
Two-Face vs The Riddler -Generally Two-Face, though on rare occasion Riddler has been shown with good enough equipment to get a solid win.
Man-Bat vs Killer Moth -Man-Bat, KM lacks the strength/firepower
Catwoman vs Harley Quinn -Catoman
Mr. Freeze vs Maxie Zeus -Freeze
The Joker vs The Penguin -Joker, as Penguin smartly surrenders.
Killer Croc vs Firefly -Hm, between range and flight, Firefly, though if Croc got his hands on FF it'd obviously go the other way
Bane vs Black Mask -Bane breaks him
Clayface vs Deadshot -Clayface, bad matchup for DS
Ra al Ghul vs Scarecrow -Ra's.

Pretty much