From Muppet Wiki

Spiders are classified as arachnids and not insects (or bugs). They have eight legs, two body segments, and a non chewing mouth. Despite the inability to chew, they are able to open their mouths to speak, at least when created by the Muppet Workshop.

BrunoThe Jim Henson Hour	Eensy Weensy SpiderMother Goose Stories	Elmo SpiderSesame Street	Fat Blue SpiderSesame Street
Giant SpiderThe Muppet Show	Old JoeThe Muppet Christmas Carol	Rudy the SpiderThe Animal Show	MirrorMask's Shadow SpiderMirrorMask
Sid SpiderThe Wubbulous World of Dr. Seuss	SpiderSesame Street	TarantulaThe Muppet Show	The Village SpidersMuppets Tonight

See also:Spider-Man, Hector the Spider Monkey, and Insects