Other mistake: In the anime scene, after the two men empty their magazines onto the back of Matsumoto, from under the bed, O-Ren shoots the leg of the guy wearing brown, then blasts his head. Then she fires a third shot that hits a brown leg, but the guy wearing blue falls instead. (00:41:55 - 00:42:40)
Other mistake: The Japanese phrase the chef says to The Bride when handing her the food is used after a meal, not before the meal.
Other mistake: At the end when The Bride cuts off the top of O-Ren's skull she somehow manages not to cut through the brain underneath.
Answer: If you're thinking about the song that starts with the clapping then it's called "Don't Let Me Be Misunderstood" by Santa Esmeralda. On the soundtrack it's number 10.