Material (see below)
General purpose thread in matching colors
Small, sharp scissors
Polyester fiberfill (stuffing)
Marker and cardstock
Supplies that aren't absolutely required, but make life easier
Beeswax - run the thread through it before sewing to prevent tangles
Locking forceps - aka hemostats. Help with turning ears and legs
Curved needle - good for finishing seams
Plastic "beanie" pellets - weight down the legs to make the plushie stand better
There are several choices for fabric, each with good and bad points.
pros: Very cheap, comes in lots of colors, available in craft stores.
cons: Shows stitching, hard to turn.
pros: Comes in lots of colors, easy to work with, widely available.
cons: Shows seams, can stretch and distort the shape, can be expensive.
pros: Decent range of colors, very soft finish, good for smaller plushies.
cons: Hard to find in stores, very floppy so it require