Depends if your talking about a plant cell or a animal cell. However both cells have these common organelles listed below.
Cell membrane- phospholipid bilayer which contains protiens and other molecules, forms a barrier, lets in and out molecules in the processes of Endocytosis and Exocytosis.
Nuclues- this is the control centre of cell, contains DNA, controls production of proteins.
Animal cells contain:
All of the above, and plus.
Centrioles- hollow cylinders made of 9 protein microtubles. Involved in formation of sindle during cell division and also in transportation within cell.
Mitochondrion- Two membranes folded in to finger like projections called Cristae.This is the site of later stages of aerobic respiration
Rough Endoplasmic Reticulum (ER)- interconnected membrane-bound flattened sacs, ribosomes are attached outside, thus its called rough. Proteins are made by these ribosomes and are transported through ER to other parts of cell.
Ribosomes- made of RNA, small organelles found free in cytoplasm or attached to ER, they are the place of protein production.
Lysozome- sacs containing digestive enzymes. Function is to break down unwanted structures in cell, and destruction of old cells.
Golgi Apparatus- flattened membrane bound sacs formed by fusion of vesicles from ER. Function is to modify proteins and package them into vesicles.
Smooth Endoplasmic Reticulum- Same as rough ER, but does not have attached ribosomes thus called 'smooth'. Makes lipids and steroids
Hope that answered your question