Justified is better written and acted, although I often cant tell the difference netween mediocre acting and mediocre script. DA is original writing but is a pastiche of Victorian and Edwardian conventions and plots out of 2nd rate novels. Justified is also original writing, is clever, and while a drama, its got ironic humor. Not sure I ever cracked a smile when watching DA? Oh wait, Maggie Smith, well yeah, there is an example of excellent acting with mediocre material.
anyway, Justified is very violent so for that reason, it may not be your thing.