Catastrophe features a significant character arc for Chris, who comes out as gay/bisexual in later seasons. His journey is depicted with complexity, dignity, and empathy, exploring the personal challenges of self-discovery and the impact on his marriage. The show's portrayal affirms the worth of his queer identity without resorting to mockery or negative stereotypes.

The show frequently portrays Irish Catholicism through the lens of cultural baggage, guilt, and judgmental attitudes, particularly via Sharon's mother. While often played for comedic effect, the narrative consistently highlights the restrictive or hypocritical aspects of this upbringing without offering significant counterbalancing positive portrayals of the faith itself.