Corrected entry: Throughout the show the humans refer to the Cylons as a "race". They should be referring to them as a species. Among the humans there are different races present and it would be more correct to refer the Cylons as different species in that they are as different from humans generally as humans are from rats, for example.
Corrected entry: The Pegasus is presumably a newer Battlestar than Galactica (which was slated to be decommissioned when the Cylons attacked), and its complement of Vipers is of a newer model, presumably the Mark V. The newer Mark V Vipers were in use by the majority of the Human fleet defending the Colonies in the miniseries were easily jammed by the Cylons, rendering them worthless, yet the Pegasus' Vipers are unaffected by the Cylons they've encountered.
Corrected entry: Throughout the series, over military and other official communications lines, people say "repeat" when they repeat something they've said. The correct phrase should be "I say again." "Repeat" is an instruction to fire/shoot again. Since the writers were careful to get other aspects of military life aboard a carrier right, this particular mistake is quite obvious.
Corrected entry: Season 4 Episode 10 - Revelations. When the fleet is just one jump from Earth, Apollo suggests that he and Starbuck go ahead alone on a recon. His father rules this out, but a Commander of his experience would have agreed to the plan to ensure that they did not jump into the solar system and meet a Cylon ambush or a self defence system that attacked them.
Corrected entry: When Raptor 1 is shot down over Kobol, her windshield is blown out when she begins re-entry. The pilot and crew are buffeted by the atmosphere and can barely breathe or see to land. Why aren't they wearing vac suits and helmets like they have in EVERY raptor flight up until this point?