Player Male Lead?

2nd male lead in High Society kind of gives off a player vibe, he is also of wealthy status, He was first set up with female lead but later falls for her friend, poor girl.

• Heirs
• Noble, My Love
• My Secret Romance
• Boys Over Flowers
• City Hunter (darker - if I remember correctly you could say the FL failed to 'tame' him in the end)
• Uncontrollably Fond (warning - tragedy tag)
• Cinderella and the Four Knights 
• Secret Garden (FL is a stuntwoman, so not exactly ordinary)
• Marriage Contract (the leads are a bit older in this one, FL has a kid in school)
• It's Okay, That's Love (ML is a famous author)
• Kill Me, Heal Me (ML's personality is... complicated) 

Where the playboy is the second lead:

• Attention, Love! 
• Princess Agents (sort of, and warning - it ends with a cliffhanger)

In these dramas the ML is not really a playboy heir, but are... men of action? And you do get a similar feeling that they have been "tamed" (I'm not really a fan of that word - it's more like they get the ML to reorder his priorities) by their love for the FL:

• W Two Worlds
• Descendants of the Sun
• The K2
• Goblin
•  When a Snail Falls in Love (to a lesser degree)

Note: rude playboy heirs are usually my least favourite leads so I haven't watched many dramas with that set up, but I think at least some of these should match what you're looking for.

Devil Beside You- He is a player through and through.

1% of Something- He is said to have dated many women, but is not seen doing it. He does give the player vibe though.

Last Cinderella- He's a player but she completely reforms him. 

Hi, my Sweetheart- He becomes a player after they breakup but goes back to his sweet self