Before Kaoru gets saved by Kenshin, the cut given to her by Battousai on her right arm was bleeding, but now after Kenshin does save her, it is not.
In the Akabeko there is a leprechaun dining in the backround. Leprechauns are Irish, not Japanese.
Jinei was never called the Battousai in this episode, rather he was known as a stray Manslayer.
Actually the term "Manslayer" was not cartoon network's idea but Anime Works.
Jin-e is not a "battosai", but a hitokiri, which means assassin in Japanese, or as Cartoon Network puts it, "man slayer".
Battosai is the nickname given to Kenshin because he has mastered all aspects of the battoujutsu techniques, that of starting the sword in the sheath to increase the speed of the attack.
The bandages covering Kaoru's breasts disappear then reappear. This happens in the beginning around when Kanryu was trying to bribe Kenshin to work for him.
After Aoshi used his Kaiten-kenbu technique on Kenshin, the slash marks on Kenshin's chest were bleeding. After the battle is over, and Kaoru, Yahiko, and Sanosuke approach Kenshin, the slash marks weren't bleeding anymore.
The injuries Yahiko sustained during the fight, disappeared a few hours later when he began training.
We find out that Kenshin's Reverse Blade cuts everything well except for People.
The guys from the Hishimanji gang that Yahiko and Sanosuke knocked out somehow reappeared, moments later, when Kenshin arrived.
When Megumi is trying to get that gang to give back that girl, she loses her lipstick.
At the end of this episode the children are singing row your boat but if they were in that time especially in Japan not much of western influence was allowed.
When Kenshin knocked the sword out of Raijuta's hand, that sword disappeared from where it was supposed to be stuck in the ground, when the camera zoomed out.
When Shura is talking to Kenshin about her father, we cut to a screen shot of Kenshin smiling at her. He's got his hands behind his back as though he's still tied up, but the wooden post has disappeared.
At the end of the show, when Kenshin and Shuura say there goodbyes, Kenshin's huge scar on his right cheek disappears, but appears again as Shuura leaves on her boat.
Saitô Hajime is actually a real person in Japanese history and the captain of the third squad of the Shinsengumi.
Addition to the prior goof: it's possible that the room Kenshin and Saitoh are fighting in isn't in the direct line of sunlight, so it would seem darker than normal.
At the beginning of Saitou and Kenshin's fight, the sun sets. This is why its so dark while they're fighting (for the dramatic effect, i suppose). however, when it cuts to Okubo Tochimichi and Inspector Kawaji riding along in the carriage, the sun has not set yet, it appears to still be early evening.
After Saitou's sword breaks and he throws it at Kenshin, Kenshin blocks it with his left fist. Several minutes later, when he's breaking the Battousai trance by punching himself in the face with his left hand, the wound magically disappears.
Misao uses the term "poker face". Poker was most likely not introduced to Japan in 1878.