In the last level of the 360 version, Fisher wears an NYPD uniform that says SWAT on it, when NYPD's tactical unit is called ESU.
The cruise ship is searched by the Mexican coast guard; Mexico doesn't have a coast guard at least not by that name.
In the Xbox version, the Mexican soldiers who search the cruise ship are carrying AK-47s. The Mexican military doesn't use the AK-47.
Mr. Fisher has thermal vision which can see NPCs through walls. Thermal signatures cannot pass through walls.
Mr. Fisher has glowing objects in his gear. These would inevitably give away his position if he tried to hide in darkness.
Mr. Fisher has a device that can disrupt circuitry. For some reason, it can also disrupt lights, even though lights are simple and do not contain circuitry.
In the Congolese hotel level, there is a pre-2006 flag of the D.R. Congo on display, when the level is set in 2008.
Mr. Fisher is not given ammunition at the beginning of the Iceland mission, which of course makes no sense.
In the Xbox version, an NYPD cop says he was in the blackout of 2008. The blackout was in 2007.