The Plasma Membrane regulates what enters and leaves the cell and separates the internal environment from the external environment. It is composed of a lipid bilayer and is a selectively permeable membrane because it allows water molecules to diffuse through the bilayer.
The Nucleus is the control center of the cell. It is the largest organelle in an animal cell and it contains DNA.
Nuclear Envelope: Double-layer membrane that surrounds the nucleus
Nucleolus: Synthesizes ribosomes
The Endoplasmic Reticulum is an extension of the nuclear membrane.
Rough E.R.: Transports ribosomes
Smooth E.R.: Synthesizes lipids
Ribosomes are the sites of protein synthesis and are the smallest organelle in the cell.
The Golgi Apparatus sorts, chemically alters, and packages important molecules.
Peroxisomes detoxify harmful substances that enter the cell.
The Cytoskeleton helps support cell structure and drive cell movement.
Cilia: short, hair-like extensions on the cell that aid in cell movement (Animal Cells Only)
Flagellum: a long, hair-like extension on a cell that helps the cell propel (Animal Cells Only)
Lysosomes are responsible for intracellular digestion and are only found in animal cells. They are membranous sacs of acidic enzymes and are sometimes called 'suicide sacs.' (Generally, Animal Cells Only)
Mitochondria are the sites of cellular respiration generate fuel for the cell's activities.(Animal Cells Only)
The Vacuole stores extra material for the cell such as nutrients and water and is the largest organelle in the plant cell. (Generally, Plant Cells Only)
Chloroplasts are the sites for photosynthesis and are only found in plant cells. Chlorophyll pigments in the chloroplasts gives plants their color. (Plant Cells Only)
Cell Wall: Structure outside of a plant cell that gives the cell its rigid, boxy shape. (Plant Cells Only)

Check out this link to review the structures and functions of the organelles!

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Still confused on Plant and Animal cell differences? Maybe this vid will clear things up!