This seems to be the scene you're thinking of:
It's not actually from a series at all, but rather from the music video of Pearl Jam's song "Do the Evolution".
According to the Wikipedia entry on the song:
The animated music video for "Do the Evolution" was co-directed by Kevin Altieri, known for his direction on Batman: The Animated Series, and Todd McFarlane, better known for his work with the popular comic book Spawn and Korn's 1999 "Freak on a Leash" video. The video was produced by Joe Pearson, the president of Epoch Ink animation, and Terry Fitzgerald at TME. It was written and developed by Pearson and Altieri with input from McFarlane and Vedder. The total production time on the music video was 16 weeks. The animation pre-production was produced by Epoch Ink Animation at their studio in Santa Monica, California. Under Altieri and Pearson’s supervision the Epoch team boarded and designed the short in less than six weeks. Once McFarlane, Vedder, and Sony gave their final approvals, the short was taken to Korea by Altieri and Pearson for animation at Sun Min Image Pictures and Jireh Animation. Over a four-week period, a team of more than one hundred artists worked to deliver the finished animation.
The co-director's experience on the Batman animated series probably explain the similarities that made you think it was from a Batman series.
It probably does still count as sci-fi/fantasy though, because as the wikipedia summary of the video puts it:
Throughout the video, a black haired woman (similar in appearance to the character Death from the DC comic book series, The Sandman) dances and laughs, representing "Death" as it follows mankind through all of its history.
The video concludes in what seems to be future scenarios of the self-destruction of the human race, including the carpet bombing of a city of clones by futuristic aircraft, computers hijacking the human mind, and finally a nuclear explosion which leaves not only a city in ruins, but the planet damaged beyond recognition.