Episode one definitely sets the precedent for the rest of the series. The fact that it starts off with theJohn Wayne giving it an introduction, where he says that he thinks Gunsmoke is a great show, is very high praise coming from him.
Any episode in which Chester got to be the badass- he was not only a good shot but could be quite lethal in a fist fight if necessary. A fine example was the episode "Quint's Trail" in which Chester manages to track down a con artist, ropes him and drags him to the ground, and when the guy tries to fight back, Chester takes a shot as a warning NOT TO TRY THAT AGAIN!. He not only gets the money back but also hauls the man to jail, while Matt failed to track the man down at all.
One episode featured a female Haggen- Festus' cousin- visiting Dodge. She's raped by an outlaw and Festus hunts him down and kills him without hesitation. Matt has to arrest Festus but implies that the trial jury will let him go. Obviously, they did.