Amanoya

First established in Osaka in 1932, this venerable eatery – specialising in traditional Japanese sweets – moved to its current home in Azabu-Juban in 2003. Popular dishes include ogura toast, made with sweet bean paste, and gelatinous warabimochi dusted with kinako soybean flour. It's not all desserts, though: there's a smaller section of the menu devoted to savoury dishes such as zosui rice porridge, and in the evening you'll see many customers enjoying a few tipples with their custard puddings.