Cross cut and confetti style shredders both cut the paper vertically and horizontally to shred sizes approximately 5/32" x 2" pieces of paper (this cut size varies). There is no difference at all between a shredder marketed as a confetti style and a shredder marketed as a cross cut style
A strip cut shredder will cut in strips that are generally 1/4" and the length of the shredded paper will be the same as the paper being shred.