Everyone in the movie pronounces the word "yakuza" as "yah-KOOZ-uh" with the emphasis on the middle syllable. The more correct pronunciation was and is "YAH-koo-zuh" with more emphasis on the first syllable. This is not only closer to the Japanese pronunciation, but it's how American criminal investigators who work Asian organized crime actually pronounce it, especially those in the San Francisco bay area, where police have been working Asian organized crime for over a century.
As Jet Li enters the upstairs office of Shiro's showroom, the doors are opened by two employees. The sound you hear is of a latch and strike plate, neither of which were on the doors.
In the scene where Crawford is in the shooting range, there is a guy in the background who walks by, and then the same guy walks by in the same direction two seconds later.
After Tom/Rogue kills the original Rogue he removes his wedding ring and puts it on the dead Rogue. When he is washing up in the next flashback you can clearly see that he is still wearing his wedding ring.
During the Jason/"Rogue" car chase scene the same cars will appear on different roads. A black mustang can be seen going one direction, then the other, then be seen on a different road. A silver VW bug is seen start to finish during the whole "fast paced" scene.
At the Sayu Tea House after Crawford smashes his Chevelle into the fleeing Impala of the triads and the ensuing shoot-out he leaves his driver's door open. When Crawford returns to his Chevelle to start the chase scene with Rogue his driver's door is closed.
When Crawford maneuvers around the trolley during the chase scene with Rogue the front license plate of his Chevelle is missing. At all other times during the chase scene the front license plate is there.
In the first 30 minutes, the screen reads "San Francisco, 3 years later....the yakuza district."
There is no "yakuza district" in San Francisco. There is a "Japantown" or "J-Town," but that's not known to police nor locals as a "japanese organized crime district."
When Rogue is in his gun vault, he is loading a pistol magazine with his "depleted Uranium" rounds. The rounds are clearly 5.7x28mm, and the magazine is for a FN Five-seveN handgun. However, the gun he supposedly inserts it into is a Walther P99 in 9mm. This would be impossible because the Five-seveN-magazine is too big for the Walther.
Depleted uranium literally makes less sense as ammunition for an assassin to carry and use in his personal weapon. It is a very dense, very heavy metal, and the only military application for its use in ammunition is for armor-piercing purposes in 20mm-30mm caliber cannon shells. It would be too heavy for a standard handgun's powder load, making it under-powered and have a shorter range and less stopping power; but increasing the powder load to compensate for the weight would make the weapon kick more and therefore be less accurate. A final point against it is that carrying a radioactive metal constantly on your body would might cause health problems in the long term. While uranium bullets are unusual, for practical reasons, this is as much fictional nonsense as it is possible in the real world.
The shoulder patches of the San Francisco police officers are not that of the San Francisco Police Department.