When Fry is wearing the blanket in the ship there is a Planet Express logo on it. But when he is in the Planet Express building there is no logo.
When the crew are on Enceladus getting the satellite, the microphone on Farnsworth's helmet is on the outside, but that would make his microphone useless in the vacuum of space.
Morbo and Linda are shown to be suffering from the cold virus, yet their studio is based in Los Angeles, the other side of the county, while it's established that it's only Manhattan that has the cold virus.