According to an online dictionary
Dysfunctional describes something that is flawed and doesn't operate correctly, or someone that deviates from normal and accepted social behavior. (adjective)
An example of something that would be described as dysfunctional is a family that fights all the time and that deviates from the accepted way a family is supposed to behave.
That having been said, I suppose there are a lot of dysunctionality in fiction -One example is RUNNING WITH SCISSORS by AUGUSTYN BURROWS. A boys tale of how he grew up with his aunt and uncle in a very screwed up family.
Look at TV there is Two and a half men --where at first there was Charlie, an alcoholic skirt chasing jingle writer with the inability to connect to his family properly. Alan is an uptight divorced father trying to raise a young boy in Charlies house. Both men have a plethora of neuroses to get through and not infect young Jake. Charlie dies and enter Eldon a multi-millionaire inventor who buys Charlies house and lets Alan, jake and Alans fiancee Lindsay to live there. Eldon is an excentric innocent still stuck on his exwife even though he cheated on her.
Other obvious examples are THE SIMPSONS, FAMILY GUY AND THE BUNDYS OF MARRIED WITH CHILDREN FAME.--
All of the aforementioned shows are sitcoms which demonstrates that dysfuctional can be funny