Re: Osaka & Kyoto recommendations
Getting some good food is a must.
The Aquarium in Osaka is fantastic. Definetly worth a visit if you have the time.
Any of the temples or shrines in Kyoto are great. If you can hop over to Nara, a visit to Todaiji would be an excellent way to spend a couple of hours. It's not far from the station in Nara, so it's easy to get to.
If you get the chance to train with Okamoto Sensei, take it. She's great. Any of her three dojo are nice. The Tambabashi dojo is my favorite, but that's where I spent most of my time, so I'm biased. The butokuden in Kyoto (where she teaches the morning classes) is worth checking out anyway, so if you're in the area you could catch a class there. There are usually a fair number of foreigners in her dojo, so it's easy for an outsider to fit in relatively well.