Well, a knowledge of psychoanalysis and its key concepts would be a big advantage (HINT: this includes the subconscious, ego, super ego, repression, and defense mechanisms such as denial, etc).

Once you are familiar with these, you will then be able to pick up on them or at least write a psychoanalytic perspective in respect to the sitcom. For example, noting a character supressing their anger, being in denial, being anal retentive, etc.

You could perform an analysis of the show The Walking Dead and how it relates to the human condition.

You could talk about what happens to people when the world is overrun and society has crumbled. You can talk about what it must be like for people to try to survive in a world that no longer has any rules. You can talk about what happens to people when survival is the only thing that matters. You can talk about how people struggle to remain human in a world that has been stripped of its humanity.

It's not just about the zombies. Hope this helps.