I don't watch many melodramas but I like something like 49 Days or Shining Inheritance. Anything with good actors and an enjoyable plot in it. I can't stand tragic endings UNLESS the rest of the drama is fantastic.
Hm...I personally really loved Incarnation of Money and That Winter The Wind Blows ^^ also, if you're looking for a drama that has melodrama elements but isn't 100% melo, then check out King of Baking. It's not just about baking, trust me, it's really good ^^. So yeah, I recommend those 3 ^^
The Incarnation of Money Queen of Ambition - The ending might be tragic or not, depends on how you view the rest of the drama.
Ohh, i loved a lot of Melodramas. Im giving you some of the best:


Stairway to Heaven
Missing you
Winter Sonata


That's my ALL-TIME FAVES. :)
Definitely worth watching!
Secret - I think this one is the best out there
Innocent Man - Loved it to death
Shining Inheritance - My first melo
That Winter, The Wind Blows - the scenery and story are beautiful to a fault
Yellow boots! ^^ I just finished it and it was awesome! <3