Both are about dead spirits being resurrected as demons to extract vengeance
Both have intense swordplay

Both have intense swordplay. Both are based on famous Japanese historical novels by Baku Yumemakura.

Both are very beautifully filmed & stunning mountain climbing mountaineering movies. both are about determination till very end

Both are about Japanese Imperial chefs/cooks, going to foreign countries to learn, master art of cooking / baking / chef., cook recipe for Japanese emperor. Both take place in pre-world war 20th century.

Both take place in East Asian Imperial Courts, both have onmyoudo, excorsim of demons, their curses.
Both are based on famous novels by Baku Yumemakura.

Both are about Princess Yang, set in Chinese Imperial Court during Tang dynasty, very visually stunning costumes, SFX

Both are set in Heian-kyo Imperial Court, have traditional costumes, both feature Abe no Seimei as leading character. Both are about jealous Onryo, vengeneful ghosts of a Imperial Concubine trying to unleash vengeance upon the Imperial bloodline & Court,.

Both are about Buddhist monks exorcising demons in Chinese Imperial Court., visually very beautiful historucal movies that takes place in Chinese Imperial Court, beautiful costumes, SFX.

Both are visually very beautiful movies that takes place in Chinese, Japanese Imperial Court, beautiful costumes, SFX, both have significant Buddhist Grand Masters.

Both are visually very beautiful movies that takes place in Chinese Imperial Court, beautiful costumes, SFX, both are about significant Buddhist Grand Masters