I took these notes for myself, but figured they might be of interest to others.

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• He throws something without looking and hits a guy in the head (a little rod, from a nap; a golf club, while breaking a safe)
• poison, and commentary on it being a lame method
  
• He protects her without her knowing he did.
  
• She smiles, even though she has nightmares.
  
• He was just going through the motions of a dangerous life, but made a speech about it perking up now.
  
• Someone educated and privileged who should be responsible is being a weasle (same actor as in Faith)
  
• an only daughter separated from parents forever
  
• Choi-Auntie is bossing the hero around
  
• Choi-Auntie is worried about him falling in love with female protagonist (same kind of defensive denial)
  
• 4:08 "It would be good to avoid me right now" and she kicks the copy machine. (Matches Choi Young after he's accused of accepting a bribe, tells his lieutenants "Don't come near me today," and whacks and kicks a lantern in the hallway 14:02:33)
  
• philosophy about attitude and fighting
  
• Bad dreams about violence—in Healer, she's remembering her childhood abuse; Faith, after she's made to go out with flute and fire on hits
• She drops something and he catches it before it hits the floor, when she didn't even know he was there. Healer, 4-51:11, she sees Kim Moon Ho, drops her paper coffee cup, and Bong Soo catches it. Faith, she's looking for her "relics" in the king's room, and knocks a ceramic piece off; Choi Young catches it.
• Choi Young catching that ceramic piece is also a match for Healer, in episode 20, while subduing thugs at the coffee shop, catches a boxed tea mug (or something) that was knocked off, and puts it in a safe place. :-)
• Man catching a woman who's about to fall... but that might be too common to too many stories to mention.
• Male is falling in love; female mentor says "just don't"; he denies it; she warns him.
• 5:51, the politician is touching her inappropriately and the hero is forced to stand there without reacting.
  
• Hero can kick many butts at once, but doesn't want to do it in front of her (she doesn't like violence, in both; he has a second identity, in one)
  
• She called him [whatever they translated as] psycho
  
• Female discovers, in a container, a secretly-kept souvenir (yellow flower in an aspirin bottle; paper origami star in a storage box in the car)
  
• Eat before battle (court/interviews)
  
• Are you there? I'm here. (He was behind her on the balcony; outside the screen, in Faith)
  
• You're the one who saved me, right? And hugged me?
  
• Surgeon comments on musculature. In Faith, episode 4, Eun Soo to Choi Young "Your six-pack saved you." In Healer, episode 13, emergency room doctor to Young Shin, that the wound wasn't worse because he was so muscular. (She looks surprised, because it's Bong Soo, to her.)
• If you want to have someone, remove everyone else they love or can depend on
  
• No more contact (touching her, knowing Choi-Auntie is on the phone, saying "physical contact")
  
• No loyalties, which is why he can do his job.
  
• Should I make you really famous? (to make her safer, like the king giving a high office to the doctor to keep her safer)
  
• A sketch that doesn't look like him
  
• speaking to an unconscious person (tranquilizer dart/hospital ; Eun Soo poisoned and might wake up paralyzed, so talk to her) [episodes 10-13 or so, go back and note]
  
• a teacher sacrifices his life to save a student
  
• don't become a murderer
  
• Referring to something as a long dream someone might wake up from "What kind of dream lasts that long?" in Healer, to the repeated wish to wake up from the dream, in Faith
  
• The statement that the woman shouldn't be in the barracks, similar to "I don't know how you got in here, but this isn't a place you should be."
  
  
• Faith, Queen, Ep.6: "You two can wait if you want to. I don't know how to do that." In Healer, someone says "You should just run away," and he says I don't know how to do that." (Quotes are approximated from memory and might be wrong.)
• When he dried her hair it reminded me of Choi Young always wanting to fix Eun Soo's hair. In episode 23 of Faith, he's combing her hair while she's waiting for her induced fever to begin.
  
• One character weakens others by disrupting their confidence (persuading her that Healer is dangerous, and various other negativities)
  
• You never just say "yes"
  
• Averse to seeing him with someone else's blood all over him (maybe for different reasons, but still...)
• statement about going from enduring life to enjoying it (Healer, episode 3 when he sees the photo and tells Choi-Auntie that life just became interesting; Faith... when he decides to make his own choices? (Where's the speech? To the same actress? :-))
  
• stupifying incense
  
• a woman putting makeup on another woman for a public appearance
  
• Someone did something extreme (agreed to marry; confessed to a murder on video) to save the other's life [Episode 15, 8:01 in Faith—trap set for Choi Young, she knows from the book, and agrees to marry Deok-heung. In Healer, Episode 19, "Healer is forced to read a confession to the murder of Dong Chul" because he sees a live feed of Young Shin being threatened with mystery hypodermic death.]
  
• Sleeping in a chair

  but more than that, the leads can sleep easily and for a long, long time. Choi Young, especially. But when Healer's teacher dies, he hides out and sleeps for five days. Later when he's tired, narration says it's like funny to see him trying to live like normal people (episode 18), that "It's sort of like wildcats or beasts are. When they don't hunt, they sleep all day."

• He says she should have looked before attacking (purse, in Healer.... before thrusting a knife, in Faith)
  
• female lead is "a person who naturally laughs a lot"
• moving through a sparsely guarded building without being seen (Healer, when most have left to raid his hacker; the assassin in WuDalChi headquarters after they've gone to accompany the king to the hearing at the other place—they're able to walk by/behind the less skilled guys left behind)
• Choi Young drops his sword (sword has become heavy) is similar to Healer stumbling and falling, twice. Different reason, but other characters react/respond in shock that someone so extremely competent could fumble.
• lists of likes. In Healer, it's first snow, large hands... In Faith, in epidose 23 (14:20) he said he knew she liked food, but didn't know she liked pretty clothes. What else? She talks about rain, yellow flowers, blue colors, gray colors, and a tall man (looking at him in his armor, and thinks "big hands like yours... that voice). She had already said she that what she would miss was him saying "What?"

If it's Excellency Deok Seong that you were worried about: The only thing he cares about is himself. "How can I get a higher position and get richer? How should I use the people to make more of my people?" For him, the people are his tools and properties.

"You did well. You did a little better than I thought."
"You did well. You over-achieved."

Faith (Episode 5) "She gets in Ki Chul's face like a wannabe gangsta, spelling out F-U-C-K and telling him in English to "Go to hell"."
Jang Bin says outside the room afterwards (in one translation): "You did well. You over-achieved."

In Healer, episode 10, after the red dress at the press conference, Moon Ho (back at the office) said "You did well. You did a little better than I thought."

Healer, Faith and Sandglass

A man cares about a woman's hair
A man reaches out to touch a woman's hair; she doesn't know; he changes his mind
Man saves life of woman who doesn't know it
Woman trusts man enough to be asleep

"I just wanted to see whether I was powerful enough to put you away..." Faith has several comments on whether someone is sufficiently powerful. [Does Healer? I don't think so.]

both have a place where someone suggests a person should just say yes instead of arguing or asking questions all the time. Choi Young, episode 2 or 3, tells the still-freaked-out doctor that she never just says "yes" to him.

This one has "Can't you just once say "yes" in a sweet voice?"

If I say more, it says too much, but it's a nice bit in context, and reminded me of "Faith."

The Story of a Man / The Slingshot
What's Up?

I think the only actor who is in all of those is Kim Mi-Kyung (Choi-Auntie / Jo Min-Ja). In "What's Up?" she has a major part as a teacher at the theatre school. Her appearances in the others are cool surprises, so I'm not sayin'.