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Reminder that pre-Crisis on Infinite Earths mainline Batman - Earth-1 - ended his comics runs actually having a harem of girlfriends at his back and call that were all friendly to each other.
The harem included:
Julia Pennyworth, Alfred's stranded bastard daughter that was trying to get to know her father.
Vicki Vale, the reporter who was constantly trying to chase after Batman.
Catwoman, who we all know.
Talia al Ghul, who we also all know.
Their story literally ends with Batman, Robin, Nightwing, Batgirl, Alfred, Commissioner Gordon, Bullock, and the girls all sitting around the batcave and having a nice diner.