Final answer:
The correct answer is lysosomes, which are membrane-bound organelles containing digestive enzymes for intracellular digestion and waste processing in animal cells.
Step-by-step explanation:
The organelle that is a single membrane-bound structure found only in animal cells, containing digestive enzymes for digestion and waste processing, is the lysome. Lysosomes are responsible for breaking down food particles, damaged organelles, cellular debrisos, and microorganisms through the hydrolytic enzymes they contain. These organelles play a key role in the immune system's defense against pathogens, and they also participate in apoptosis, a process of programmed cell death.