In November and December 2015 I spent three weeks in Taiwan visiting Taipei, Xincheng (Taroko Gorge), Kaohsiung, Tainan, Lukang, and Taichung. The weather in November and December was cool and comfortable. Supposedly this was low travel season, but I couldn’t tell from the hordes of tourists everywhere, mostly from mainland China.
In November 2015 I spent three weeks in Japan visiting Tokyo, Matsumoto, Takayama, Shirakawa-go, Kanazawa, Nara, and Osaka. This is the second time I’ve been to Japan in November. It’s a great time to visit, since you can still catch the changing of the leaves and the weather is cool and crisp. Possible downsides: The Japanese Alps region is already pretty chilly in November. Also, you may encounter hordes of leaf peepers, especially in the south where autumn color is still most vivid.