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The Princess' Man --- Epic romance b/w enemies, great story telling, memorable characters.. Most amazing Female lead Character!....Best, Best, Best! read the reviews.
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Tree with Deep Roots --- excellent story about the king that created the Korean alphabet.
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Chuno --- Great action mixed w/ side-story of slave revolt..heartbreaking love, memorable characters, fun, sad, exciting, interesting... Memorable OST.
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Empress Ki --- Beautiful, 1st haf is perfection!!!
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Gu Family Book --- Fantasy, fun, rom-com w/ costumes
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Iljimae --- Lee Jun Ki and Park Si Hoo, in a pretty good story .
Chinese Historical, since u r watching SH:Ryeo:
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Scarlet Heart --- original C-version... concentrates more on the heroine and how she survives among Palace politics and her friendships, loves w/ the various princes... Heroine is spontaneous, carefree, but very clever and attractive, that's how she garners the interest of all the princes.
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Sound of the Desert ---- Passionate romance, One of most amazing Male Lead characters, and the 2nd lead is pretty wonderful.
EDIT: I second @kura2ninja below, of
Jewel in the Palace ... It's a classic, on my PTW, heard lots of good things about it
I also second @nastou19 above about
The Painter in the Wind .... Heard lots of good things about this
Plus, the Chinese are best at historicals: Try
Nirvana in Fire,
Battle of Changsha, and many many others.