Any good Journey or fugitive type dramas?
I like adventure-ish dramas. Where they are either running away from something or chasing something.
or 
I also am looking for a drama that has good character development as in the characters/character either changes a lot over time.
So far I've seen
Iris
Two weeks.
You're all surrounded. 
Any recommendations?
What about Runaway (Japanese drama)? I haven't watched it myself, but a lot of people seem to like it.
Chuno is basically just someone chasing someone else for the entire drama, so maybe you'd like that one.  It's good, too.

For characters changing over time, I'd say Bridal Mask (for both male leads, mostly).  Maybe also A Man's Story, again for the male lead.
Watch White Christmas (K-drama), Siren (J-drama), Limit(J-drama)
Three Days
Iljimae
Commitment
The Joseon Gunman
Bad Guys