Computer paper: A white, thin paper.
Lined paper: Usually white with horizontal blue lines and a vertical red line, called margin. It is extremely thin and has holes in it.
Graph paper: Paper covered in same sized squares, useful for drawing something symmetrical.
Sticker paper: Paper with a peel-off back.
Stock paper: Very thick paper.
Recycled paper: Paper made from other paper.
Construction paper: Thicker paper that comes in different colors.