What is the term for a work that imitates and makes fun of another work?

The term that best describes a work that imitates and makes fun of another work is parody. A parody often takes the original piece and exaggerates certain features or themes to create humor or critique. This form of expression allows for commentary on the original work, often highlighting its flaws or absurdities in a comedic manner.

The other terms do not align with this specific definition. A cliché refers to an overused expression or idea that has lost its originality and impact over time. An allusion is a reference to another work, character, or event, which may not necessarily involve imitation or humor. Anachronism involves placing something in a time period where it does not belong, which is unrelated to the concept of imitating or making fun of another work. Therefore, the idea that a parody imitates another work while also providing humor or criticism confirms it as the correct definition.