Which of the following set of animals exhibits cutaneous respiration?

Animals exhibits cutaneous respiration - Earthworm and fish.

1. Earthworms primarily undergo cutaneous respiration, often known as skin-based respiration.
2. In this organism, the skin is typically moist, and the sole organ aids in breathing because the genuine respiratory system is missing.
3. Rich blood arteries often supply the earthworm skin, although In contrast to other creatures, the respiratory pigment of the earthworm is dissolved in the blood plasma, and haemoglobin is in charge of the gaseous exchange.
4. The earthworm's skin is always damp due to the body's abundance of mucus and coelomic fluid, which typically enters through the dorsal pores and keeps the skin damp.
5. Gases like oxygen and carbon dioxide can be diffused through the skin. Oxygen usually does this into a thin water layer that is present under the mucous layer, from which point it can diffuse into the blood. Carbon dioxide diffusion follows a similar pattern.
6. Although fish have gills for breathing, some marine, freshwater, and intertidal fishes also breathe through their skin. Overall, 5 to 40% of respiration in fish occurs via the skin.

Hence, option D is the correct answer.