Well, in 'hyperbole and a half best stories', the stories that stand out are often those where the author combines her unique drawing style with the text. The pictures enhance the already exaggerated tales, like the story about the dog. The dog's misadventures are told in such a hyperbolic way that it's both endearing and hilarious.
One of the interesting stories might be the ones that use extreme exaggeration to describe ordinary situations. For example, the way the author might over - describe a simple daily task like getting out of bed in the morning, making it seem like a Herculean feat. It gives a fresh and humorous perspective.