Drama without crime.

I am looking for really good drama that does not involve any murders, killings or characters who spend their time solving them, also, in general, characters who are not in police, law or doctors. ML/FL who do not have mental health problems or past life problems. 

  It does sound like romances would be your best bet, but here are some suggestions for Dramas with minimal/no romance and no criminal investigations either.

https://mydramalist.com/16585-juhan-shuttai - work

https://mydramalist.com/18938-ie-uru-onna - work

https://mydramalist.com/679-shinya-shokudo character tales

https://mydramalist.com/search?q=arc+of+life work, sisterhood

https://mydramalist.com/15852-yeah-thats-how-it-is slice of life

https://mydramalist.com/28051-parting-life female friendship

https://mydramalist.com/31183-keep-going-you-re-the-best slice of life

That type is easier to find in cdramas/jdramas than kdramas but possibly Tomorrow With You (there are some problems but none of the other things you mentioned).

There's also some short dramas that perfectly fit what you're looking for:

• Soundtrack #1 
• Click Your Heart 
• Dear My Name 
• Drunk in Good Taste 
• Maybe, Maybe Not 
• The Colors of Our Time 

That rules out most genres including some romance titles. haha.

Romance, RomComs or Comedy genre would be your best bet. 

18 Again ☆

A Business Proposal ☆

Adult Trainee 

All-Boys High ☆

Be My Boyfriend 

Because This Is My First Life 

Bo Ra! Deborah ☆

Boys Over Flowers 

Crazy Love 

Disarming Romance 

Flight to You ☆

Growing Season 

High School King of Savvy 

Hit the Spot 

King the Land 

Last Minute Romance ☆

Long Vacation 

Love to Hate You ☆

Meteor Garden 

Nice Flight! ☆

Night of Love With You ☆

Romance Is a Bonus Book ☆

See You After Quarantine? ☆

She and Her Perfect Husband ☆

The Rational Life ☆

Tomorrow With You ☆

Where Stars Land 

Youtuber Class 

I think you might like these. I starred the ones that I felt were unique and memorable.