Catwoman, is the best known love interest and on-and-off enemy of Batman. She first appeared in Batman #1 in the spring of 1940. Catwoman can team-up, fight, aid, battle other villains, and have romance with Batman. The best known Catwoman is Selina Kyle.
Biography
She is often a cat burgler but even when she is stealing, she won't harm anyone who can't fight back and does not kill, which shows she does have morals. Her reasons for theft can vary, some are for personal greed or somethimes it can be for a more noble cause.
Catwoman and Batman are also very famous for their frequent flirting, even when the two are enemies they share a unique "cat-and-mouse" style chemistry - Batman himself is fully aware of this but ultimately his loyalty to the law prevents him from going further than flirting (at least in most stories). Catwoman is not the only love interest Batman has. He has also shown an interest in Talia al Ghul, and Zatanna has a bit of a crush on him as well.
Appearances in Other Media
Catwoman as she appears in "Batman: The Animated Series"
Catwoman appears in nearly every form of media that Batman is in.
She is a secondary character you can play as in Batman: Arkham City, but only if you download her. Her primary enemy in the game is Two-Face.
Selina Kyle played by Michelle Pfieffer
Selina Kyle appears in Batman Returns. She started out as a timid secretary who came across some documents that would discredit her boss Max Shreck, so he pushed her out a window. Selina survived thanks to some supernatural power bestowed upon her by a group of stray cats. When she awakens, she reinvents herself as Catwoman.
Catwoman terrorises Gotham, coming up against Batman. The two develop a budding attraction to each other both in costume and in broad daylight. When Bruce and Selina converse at a masquerade ball, they figure out each others' identities. Catwoman seeks revenge against Shreck, only for Batman to beg her to stop. Catwoman pushes him away and seemingly kills herself along with Shreck. Its later revealed that she survived.
Selina Kyle played by Anne Hathaway
She appears in The Dark Knight Rises, but is only credited as being Selina Kyle. She steals Bruce Wayne fingerprints as well as his mother's necklaces from a safe. She planned to sell the prints to John Dagget for a computer program that removes herself from every database on the planet, thus giving herself a clean slate. She takes Batman to Bane and betrays him by trapping him with Bane. Her reason was that Bane's thugs would have chased her unless she did so. After Bruce escapes the Pit, he sees Selina beat up two guys that tried to harm a child that stole an apple, regaining his trust. He gives Selina the program that could wipe her slate clean and give her his Bat Cycle to blow up the blockade sealing up a tunnel preventing escape. She planned to escape then and there, but she heads back to help Batman defeat Bane. Meanwhile, Miranda Tate, a woman who wanted Wayne Enterprises to develope a fusion reactor and took charge of Wayne Enterprises after his bankrupcy and who Bruce fell for, is revealed to be Talia Al Ghul and stabs Batman. She leaves Batman to Bane while she tries to ensure the fusion core would detonate and destroy Gotham. Selina kills Bane by shooting him with the Bat Cycle and the two work together and defeat Talia who dies happily, believing that the bomb would go off anyway. Batman gets in his aircraft after he and Selina share a kiss and is believed by many to have sacrificed himself by chaning the bomb to his aircraft and letting it detonate over the ocean after it is believe the aircraft had no autopilot. At the end of the film, it is revealed the aircraft did have autopilot and Batman faked his death. Alfred sees Bruce and Selina at a cafe in Italy, presumably married.