Pretty Walking Neighborhoods

Have a 2 day stop over in Tokyo and looking to plot my moves. I would love to explore a pretty neighborhood with cool/interesting homes and architecture, perhaps nice hilly terrain, clear air, lots of cool Japanese trees/shrubs, and nice views of the city. Shinjuku is great, but I'm looking to trek some subtle areas that I would not easily come across unless by luck.

I am of course looking to eat amazing food as well, but with only 2 days at my disposal am hesitant to pick 4 restaurants to eat at based on Reddit research. Thus, I am hoping that by identifying some interesting uncommon neighborhoods I might put myself in a position to stumble on some local legends on the food front.

Not sure if this is helpful reference, but in Los Angeles the Los Feliz neighborhood is full of small hill-bound neighborhoods that you can wind through to find beautiful homes and soak in the sunlight on a nice day. Thanks for the help!