Both dramas have:
1. Female leads who are kind, smart and fighting for women's rights in their era.
2. A lot of funny, light and heart touching moments.
3. Very good soundtracks.
4. Loving and supporting male leads as the female leads' husbands.
While Yae no Sakura is a taiga and Asa ga Kita is an asadora (different feel), both are great biopics of strong, unique women who had an pioneering impact on the rapidly changing society (i.e. Bakumatsu ~ Meiji).
Both Main Characters are pioneers, e.g. in the banking industry, and support the education of women. Both dramas are depicting the life story of a real person.