As Joe walks in front of a bus, it loses its large left-hand driver's mirror.
When Joe is received by Anya at her birthday party, he is holding the gift box in front of him. The next shot shows him holding the box under his arm.
A pack of cigarettes materializes in Joe's shirt pocket before he puts on his flight jacket.
When Joe fights with Kanda to liberate Anya, she sits on the bed twice.
When Joe begins to fight with Ito, he takes off his coat and gives it to Kanda, who holds it with his right hand. In the next shot, Kanda has nothing in his hand.
The shoulder patch on Capt. Winnow's (Whit Bissell) jacket is from the China/Burma/India theater of WW II. No U.S. military serving in Japan would use such an insignia.
Towards the end Kimura shoots at Joe and his pistol misfires. He re-cocks the hammer and tries shooting Joe again, only to have it misfire again. But the character Kimura, a criminal with a long history would have known about firearms. He would have know that if a semi-automatic pistol misfired merely re-cocking it would have done no good. Rather, he would have known that if his pistol misfired he would have had to put another round in the chamber and that in order to do that he would have had to work the action instead and NOT re-cock it.
Walking up to Cabaret Tokyo Joe, the door is open but Joe opens it anyway.