What are organelles, which carry out autophagy?

Autophagy, being the degradation of cytoplasmic components as well as other organelles, is usually done with the lysosomes. The lysosomes, having enzymes (hydrolase and others) to digest these worn out, damaged, or infected parts, which keeps the cell healthy and clean. mTOR regulates this process (mammalian target of rapamycin). Lysosomes do carry out a same procedure to autophagy. It is known as autolysis, and that is when the lysosome, excretes all of its digestive juices into the cell. It is like a self-destruct and the entire cell is condemned to a digestive end. Do not worry it only applies to damaged cells.