Switch the ratings from the person's above Completed list.

Higher: I Remember You (8.0 compared to 9.5)
Lower: You Who Came from the Stars (9.5 compared to 8.0)

Higher: Protect the Boss (6.5 compared to my 7.5)
Lower: Twenty (9.0 compared to my 6.5)

Higher: Cheese in the Trap (6.5 compared to my 9.0)
Lower: Goong (9.0 compared to my 6.0)

Higher: 1 Litre no Namida (8.0 compared to my 9.5)
Lower: Marriage, Not Dating (9.0 compared to my 5.0)

Higher: Suspicious Partner (4.5 compared to my 8.5)
Lower: Tunnel (10.0 compared to my 8.5)

Apart from these, I think our ratings are pretty similar.

Higher: the Heirs (from your 5.5 to my 8.5). It might have been ridiculous, but man, I enjoyed every minute of this ridiculousness. 
Lower: The Greatest Love (from your 8.0 to my 6.0). I thought it had many cliches that I didn't really enjoy. In my eyes it was like a worse copy of The Master's Sun.

Higher: Heartstrings (5.5 compared to my 8.5)
Lower: Goblin (8 compared to my 5)

It was really difficult because we have very similar tastes (according to ratings) but...

Higher: Personal Taste (6 compared to my 8.5) I loved this drama, I could rewatch it until death, one of the funniest I've ever seen. Just 8.5 because the girl needed large amounts of self-love!
Lower: Protect the boss (10 compared to my 8.5) Enjoyed it a lot but not that much :/