Justice League presented a plethora of characters who each had a worthy spot in the limelight and a series of interesting issues. It was probably the only instance of time in which the Question was my favourite character, and Superman's World of Cardboard speech is part of what got me into Superman as a character. It goes on to target the moralities and problems that occur with the existence of super powered individuals in modern day society and refused to make absolutely everything as black and white as most might see it.
DBZ, as others have said, is largely repetitive and focusses solely on fighting, with each character existing solely to push the importance of Goku, a character whose only notable character development to recent memory is the revelation in BoG of him disliking the fact that he has to rely on his friends, something that I honestly can't recall coming up in the show previously. DBZ isn't devoid of these issues of course. Gohan gets decent character development during the Cell Saga as he learns that it's ok to let go once in a while. Mr. Satan and Maijin Buu's interactions prove that one shouldn't judge a book by its cover (though, even with a child like mind, a mass murderer is still a mass murderer.)
For overall quality, I would say Justice League had the better writing by quite a large margin.
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