There’s a scene in Battlestar Galactica (2004) where someone asks Captain Adama why the Galactica doesn’t have networked computers. So the cylons can’t hack the ship…
Which was always pretty stupid. At best it means the Cylons can't hack the whole ship, just whichever part they exploited to gain access remotely in the first place. But really the Cylons would've needed exploits for each individual system anyway, since simply connecting them with wires shouldn't just do that. And unless those other systems are completely air gapped with no wireless or other access, it would be trivial for them to still gain remote access, or have one of their infiltrators provide a local connection of some kind. AFAIR that was never a plot point, which was odd.
There's also a scene where they do network the computers and are hacked nearly instantly.
I think it's one of the first two special episodes right at the beginning of the series, and it's the sole reason why the fleet could sustain evading the cylons
It's not just a scene; it's the whole premise of the setting. It's why the Galactica survived and the newer ships did not. It's why the new Vipers got wiped out and they had to pull the old ones out of mothballs.
In the pilot, the Galactica was literally being turned into a museum, and that's why they lived.