When Starbuck is first trying out her crutches, the cigarette dangling from the doctor's mouth disappears. It's not in his mouth when showing Starbuck from the front, but then is there when the camera cuts to her from the back.
During a shot of Cylon Occupied Caprica, you can clearly see the logo for Scotiabank on one of the skyscrapers. In keeping with BSG lore, this would mean that another corporation, from another human civilization, on another planet would use the same logo 150,000 years before the Canadian Bank of Nova Scotia (Scotiabank) would use it.
At approximately 12 minutes during the sick bay scene the brand name "Tycos" can be seen on the blood pressure meter mounted on the wall. It would be unlikely that an Earth brand name would be seen on equipment galaxies away.
Approximately 18 minutes in, the brand name "NEC MultiSync" can be seen on the computer monitors.
When Commander Adama picks up Shelley Godfrey's (Number 6's) eyeglasses the brand name and design number (Venus Eye Design V-07) is seen. Venus Eye Design is a company based in Edmonton Alberta Canada.
During the scene where Baltar is being hauled away by marine guards (he was trying to destroy evidence against him) you can plainly see a guy holding a sound boom.