Your House is a work by Eliasson where he creates a house by laser cutting pieces of a book. He presents this work in the form of a video. This piece is made out of 454 pieces of paper, all laser cut and bound together into a book.
Sean Michael Ragan created vector art of tessellating lizards based off of M. C. Escher. His friend Angus Hines used a laser cutter to cut it.
Seaserpent is a lasercut artwork by London-based illustrator Martin Tomsky. He says about whose personal work and illustrations for children are primarily about creating new worlds, unique characters to inhabit those worlds and to depict stories which bring them to life. (Taken from the about page of his website.) This piece has a distinctly oriental feel which I enjoy as I feel the 2D oriental drawings work well with the two-and-a-half D nature of the lasercutter.
See more of Tomsky’s particularly beautiful work at his website. Unfortunately his images are not individually dated, but his copyright cites 2013, so that is the date I have used.
Misselbrook’s “Origin of the Universe” is a conical representation of hydrogen and helium, the elements from which our universe was built. It is comprised of fabric and laser-cut ash. Interestingly, Misselbrook laser-cut the fabric as well, and laid it over the cut ash. The burned edges and the fabric lend strongly to a DaVincian æsthetic.
Yksong on Flickr made this piece by engraving slices of the brain onto acrylic. When layered together it creates a three dimensional model of the brain. Each piece of acrylic can be removed and viewed individually.
Each batman symbol was cut individually, then mounted up on this plaque. The technique is very simple, but I enjoy the pop culture reference.
Eric Standley creates stain glass window scenes resembling the Gothic period from hundreds of layers of laser cut paper. Standley creates the illusion of floating objects with his works. The many layers of paper give the work a three dimensional feel although it is made out of all two dimensional materials.
It’s a stack of dollar bills that have been cut by a laser cutter. Each bill is cut individually then stacked up on top of each other.
This is a picture of M. Oskar van Deventer’s “Fractal Puzzle”, in which all the component pieces are these elongated pieces, generated by a fractal algorithm, but which all fit together into the frame. It was laser-cut from a board of plastic, and the basic shape is comprised of connected hexagons, rounded by the laser-cutting process.
This project is an aesthetic project by a Belgian artist who lasercuts in particular different ethnic buildings from all around the world. This particular piece is an extension of the découpage art tradition of Switzerland with a Gothic twist. The overall look was achieved by lasercutting the façade and gluing these outer pieces onto an interior box. 
(Unfortunately this artist only has a blog rather than an official website but I strive to combine the aesthetics achieved here with the concept of a lasercutter and therefore believe I can justify presenting this piece. Part of the purpose of “découpage” art is that it takes an extremely long time and is extremely precise. Does using a lasercutter kill this or enhance it? My project will strive to answer this question through a process. This artwork only shows the one side.)