Battlestar Galactica originally ran in 1978 for one season; it was about as campy as you'd expect. Still, the basic premise of the series was there: humanity creates robots, called cylons, which rise up and try to destroy them. In 2003, the series was rebooted as a miniseries, and ran for four seasons on what was then the Sci-Fi Channel. Only this time it had a twist: while the metallic cylons of the 70's were still around (albeit with a sleek new look), cylons could also look completely human.
Needless to say, there's a lot of drama in the show. But it's also a story about politics, war, religion, ethics, and morality, and the series raises a lot of questions about what it means to be human. There are no aliens, no lasers, and no technobabble; there are heroes, but it's a stretch to call anyone on the show truly "good." Instead, there's a lot of gray. It's one of the best shows I've ever seen, and I highly recommend it.
Anything further drops right into heavy spoiler terrority, so I highly recommend you check out the show if you have any interest in science fiction: BSG is one of the best TV series ever.