Although I only discovered Chinese dramas pretty recently, here are my favorites so far:

1. All Is Well (都挺好)

2. The First Half of My Life (我的前半生)

3. Surgeons (外科风云)

Battle of Changsha

Boss and Me

Go Go Squid

Eternal Love 

Nirvana in Fire

Put Your Head on My Shoulder

A Love So Beautiful

Empresses in the Palace

Battle of Changsha 

 Love 020

Surgeons 


Notable:

Meteor Garden (Taiwan)

  1. All is Well
  2. A Love So Beautiful
  3. Boss and Me
  4. My Huckleberry Friends
  5. Fifteen Years to Wait for Migratory Birds
  6. Unrequited Love
  7. When We Were Young
  8. Somewhere Only We Know
  9. Proud of Love
  10. The Brightest Star in the Sky

I prefer period C drama but since you asked for modern Drama..

- Here to Heart
- A clear midsummer night
- Loving never forgetting
- The way we were
-Advance Bravely
- Royal Sister Return
- Boss & me
- Somewhere Only We Know
- Unrequited love
- Go go Squid!

1) Journey to meet love

2) Well intended love

3) A love so beautiful

4) Hello again

5) Le coup de foundre

6) Go go squid

7)When a snail falls in love

8) Love me if you dare

9)The brightest star in the sky

10) Medical examiner Dr Qin

  1. Love me if you Dare 
  2. Dr Qin Medical Examiner S1
  3. Guardians
  4. Day and Night 
  5. Evil Minds
  6. Addicted Heroine (BL) 
  7. Go Go Squid 
  8. Caught in the Heartbeat 
  9. Ode to Joy
  10. When a Snail Falls in Love 

Have several that are NOT modern day too 

  • Love Me if You Dare
  • Addicted Heroin
  • Go Go Squid
  • Put Your Head on My Shoulder
  • Love O2O
  • Love Knot
  • Ode to joy 
  • Medical examineer Dr. JIN
  • Love me if you dare
  • Surgeons
  • Love O2O
  • All is well
  • Day & Night
  • With You
  • Huckleberry friends
  • Divorce lawyers

I prefer Chinese historicals or fantasy. The few modern cdramas I enjoyed - 

  • You are my sunshine
  • Love o2o
  • Addicted Heroin 
  • Guardian
  • Well intended love
  • My Youth
  • Suddenly This Summer 
  • Meteor Garden (2019)
  • Memory Lost

The problem with modern dramas - weak FL. I like strong heroines.

In no particular order

1.  My Best Summer  (Movie)

2.  Accidentally in Love

3.  Unrequited Love

4.  Love 020

5.  Put Your Head on My Shoulder

6,  When a Snail Falls in Love

7.  Memory Lost

8.  Attention Love (Taiwan)

9.  Just You (Taiwan)

1. Go ahead (only drama that has made me cry, super warm)

2. Intense love (doctors, cute FL who chases ML doctor)

3. Our Boyhood (cute, baseball, no romance)

4. Love 020 (yang yang anywhere, me anywhere)

5. Forward Forever (pretty touching story line, FL is pretty hated in the beginning although gets better, fans of Jackson Yi and Huang ZiTao)

6. Meteor garden (cute school romance, ML chases FL)

7. My amazing boyfriend (has some “fantasy” ML kinda like Frankenstein-was once a dead body-but much more handsome, hate to love)

8. A love so beautiful (another school romance, FL chases ML since childhood, super cute)

theres tons of more but I’m too lazy to put them lol

(this is in no order, I just put the ones that came in mind, totally recommend all)