Taira no Kiyomori takes place right before Kamakura Dono no 13 nin. If someone wants to watch them in the order of the historical events then they should watch Taira first and then Kamakura Dona second.
Both of the dramas deal with letting go and moving on, and both of them give you feels. Both are slice-of-life. Both main characters are young adults who live with an older person.
Candy House reminded me a lot of going my home. Neither of these dramas focus on a direct story line, rather both of the dramas focus more on delivering the feels through the way it's filmed, the atmosphere of the show, the touching music, it's slow pace, and it's slice-of-life existentalism.
Both of them are about two older adults that argue and have great chemistry together. Both of them are just genuinely good and are a pleasure to watch.

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