No animal builds beautiful churches, plays tennis, tells jokes, composes songs, or travels to the moon.

Literal

Beautiful church [object-を] building, tennis [object-を] doing, jokes [object-を] saying, songs [object-を] composing, moon-travel [object-を] do [such-ような] animal [topic-は] not-exist.

A list of uniquely human activities connected by the masu-stem conjunction (conjunctive masu-stem). The punch is that no animal does any of these things. 月旅行をする ('travel to the moon') is the climactic item.