I have a list like that, where the FL is the ONLY one who can cure the ML's illness, whatever it is. 

https://mydramalist.com/list/1NkqDrDL

Most of the dramas have already been mentioned I think, but there's still a few that hasn't that you might like to check out! ^^

 DAeDaLuS426:

Use For My Talent (ML has OCD)

Your Sensibility My Destiny (ML has no emotions)

Thank you so much 

The Greatest  Love

SM: ) le is a good one it's about an idol who can't touch others but he accidentally touched the female and had no reaction it's a Chinese drama

Really good 

Love Between Fairy and Devil!

 dawitchgreen:

Watch My Unicorn Girl, really cute.

The Beauty Inside , same illness as above.

https://mydramalist.com/search?adv=titles&th=1977&so=popular&or=desc - some with inability to recognize faces.

About Time, has the FL as sick (time), and the ML as cure.

Clean With Passion For Now, and I Cannot Hug You, both follow similar plotlines in which the ML has mysophobia.

Find Me in Your Memory , memory related illnesses.

https://mydramalist.com/search?adv=titles&th=631&so=popular&or=desc,  Dramas that have to do with OCD.

My Amazing Boyfriend , very loosely follows this topic.

My Girlfriend is an Alien , weird memory illness and cure.

Walk Into Your Memory 

(A lot of these have to do with Memory illnesses and cure, I'm not sure if I mixed in some with the forget memory trope, or just an illness.)

I also really like dramas with this trope, hope you take the time to watch some of these dramas.

Thank you I’m watching my girlfriend is an alien and I’m enjoying it 

 DAeDaLuS426:

Use For My Talent (ML has OCD)

Your Sensibility My Destiny (ML has no emotions)

I love this drama thank you

 DAeDaLuS426:

Use For My Talent (ML has OCD)

Your Sensibility My Destiny (ML has no emotions)

Thank you I love use for my talent

Love To Hate You

ML is not really like sick sick, but has some trauma, that is not triggered only with FL

ML has no emotions
*  Love Unexpected - Chinese Drama - 2021, 24 episodes

Please recommend more dramas like this

Let Me Be Your Knight - Kdrama - ML has sleepwalking issues and trauma.

King The Land - Kdrama - ML has trauma.

Terrius Behind Me - ML has trauma.

The Master's Sun - This doesn't exactly fit, but I loved it. ML can't read as a form of trauma.

I personally didn't like this drama but Destined With You fits your description too.

I didn't think the ML was traumatized in Terius Behind You (a favorite drama). He's a career spy; something went badly wrong in his most recent mission and he is being sought by his own government. All in all, he seems very sane. It is more than the FL introduces him to the ordinary world - like James Bond interacting with playground parents. (Might be misrememering, though.)

 maidenholmes:
I didn't think the ML was traumatized in Terius Behind You (a favorite drama). He's a career spy; something went badly wrong in his most recent mission and he is being sought by his own government. All in all, he seems very sane. It is more than the FL introduces him to the ordinary world - like James Bond interacting with playground parents. (Might be misrememering, though.)

I think it must've been me misremembering because I believe you're right. It wasn't that bad to be trauma, but I just remembered him having nightmares before.