I'm looking for a non-historical romance drama where the male lead has long hair (at least shoulder length). Do you know of any? I'll accept movies and dramas. 

I'm not sure if his hair is long enough, but you can check if it's what you're looking for. https://kisskh.at/43079-parallel-love

A few more that might fit.

https://kisskh.at/62995-dreaming-of-lion

https://kisskh.at/734609-atom-no-warabe

https://kisskh.at/60627-yumi-s-cell

Honestly you will probably get most lucky with dramas that were released around 2010 when it was quite popular for guys to wear longer hairstyles.
Defo check out Coffee Prince ;) 

I actually didn't watch most of these yet, but I keep a list of titles I find where MLs have either long (ish) or dyed hair, so I pulled from that ^^ Hope you find something to your liking

Also he's one of the main characters (but not the ML), Denver in Money Heist: Korea - Joint Economic Area.

Recommend Loving the Lie because ML looks great with long hair. I might be biased, though, since I'm a fan of his.

Here's what came to mind:

Boys over Flowers (2009)
My Girl (2005-2006)


A little newer                                                                               and a lot older

Love to Hate You (2023)
Full House (2004)