Organelle that not only shows anabolism but also catabolism is 

Ribosome shows only anabolism (Protein synthesis). E.R also shows anabolism like protein, lipid synthesis but not catabolism. It is the mitochondrion that is involved in catabolism of lipids, catabolism of pyruvic acid and anabolism like protein synthesis as it has ribosomes. Lysosomes are not involved in anabolism. These are involved in digestion of food because of having hydrolytic enzymes.