Factual error: House is playing 'Metroid: Zero Mission' on his Gameboy at various times. The Metroid series does not feature space monkeys, nor are there distinct levels. The sounds coming from the game in the show do not match it in real life, and Samus morphing into a ball is most definitely not a failure state.
Factual error: House's team listed the potential offending organisms of the infection as "MRSA, H. Flu, VRE, and pseudomonas." House then suggests Vancomycin and Aztreonam. Vancomycin only covers gram (+) organisms and Aztreonam only covers gram (-) organisms. VRE is a gram (+) organism, thus it would not be covered by Aztreonam. VRE stands for vancomycin resistant enterococcus, thus it would not be covered by Vancomycin either. House's team therefore failed to cover for an offending organism that could have caused the infection during their initial differential.
Factual error: When House is looking over his whiteboard of symptoms for the swimming patient, the symptom "Intercranial Hemorrhage" is shown on the board. However, this is an error. The correct term is "Intracranial Hemorrhage." Anything inside the head is referred to as "intra" not "inter." This is a common mistake for laypeople, however the highly trained and knowledgeable Dr. House should not have made that error.