Which of these statements is NOT an example of hyperbole?

The statement about having a pet cat named Whiskers is a straightforward factual statement. It does not exaggerate or make an extreme claim about the subject; instead, it simply presents information about the individual and their pet.

In contrast, the other statements employ hyperbole through exaggerated claims. For example, saying "I could sleep for a year" suggests an impossibility to emphasize extreme tiredness, while claiming "My mom is the best cook in the world" is an exaggerated expression of affection, and "He is taller than a skyscraper" employs hyperbole to humorously exaggerate height. These types of statements are intended for effect, rather than literal interpretation. Thus, the pet cat statement stands out as the only one devoid of such exaggeration.