You can see a full list of the differences here.
One major difference is in the shape; plant cells have a rigid cell wall of cellulose and other materials. Animal cells have no cell wall and so can take a number of shapes, though a round one is the most common.

Another difference is that, as plants photosynthesise (use light, air and water to produce energy-giving carbohydrates), their cells contain the pigment chlorophyll, which makes them green. Animal cells don't contain chlorophyll.

Plant cells have a large, centrally located vacuole (a cavity containing water, in which enzymes are stored). Only some animal cells contain a vacuole, and if they do it isn't as large as that found in plant cells.

Also, most plants do not have a centriole (a cylinder-shaped organelle which is used for cytokenesis or cell division.)