5-axis and tubing cutting lasers.
Laser cutting generally consists of cutting shapes from a flat sheet of material. The pieces are often assembled or bent into a 3D form, but the cutting process is essentially two dimensional.
Some highly specialized manufacturers have machines capable of cutting more than just flat sheets. The video above and the first one after the jump shows 5-axis machines that can follow a cutting path in 3D space, and the last video is a machine specifically designed for cutting tubing.