I'm a geisha geek, so attending an ozashiki/enkai (geisha party) is on my bucket list. It used to be that you had to know someone who was already an accepted client in the "Flower and Willow World" to attend a banquet, but more and more okiya (geisha) houses are offering packages to tourists (especially in Tokyo) because completely following the old ways leaves the industry hurting for money. (That's probably also why there are several okiya who will take just about any woman who can speak fluent Japanese and is willing to live and work in the industry for a certain period of time. At least, that's my explanation for the girl from St. Louis and various others from around the world!)
Some shops also have packages where you can get dressed up/made up as a geisha and get your picture taken...I still haven't decided whether that's too cheesy or not. xD
If you like sushi, go to someplace like Sushiro with the cool conveyor belts. Kappa-Zushi also has the conveyor belts, but Rachel and Jun (a Japanese vlogging couple) say the desserts are the best part of that one.
If you want to go to the traditional route, there's always soaking in onsen (hot springs). ^_^
(Texan in Tokyo is defunct because Grace and Ryosuke wanted to focus on starting a family.)