I remember the first few of these videos which were on YouTube and had very low production value. They were hilarious. The Comedy Central show is just like it, but with better production value, and more "cameos" than in the originals. The episodes are organized based on cities, and each one covers three historical figures/events associated with the city. I like this kind of organization. Intermittently throughout the show, there are clips of drunk people at bars and parties repping for their cities, which provides insight into how proud or knowledgeable common citizens are about the history in their cities - plus they say stupid things, and that's always funny.
Overall, Drunk History provides an interesting twist on history that allows the viewer to get a general idea of why events/people are historically significant, but also makes the stories more entertaining than they would be if you read them in some history textbook. A great balance between intellectual interests and comedic presentation.