I was recommended to look at the work of Helen Musselwhite by a friend, she creates pieces with layers of cut paper. Her finished results are beautiful and multilayered like this owl piece.
Hattie Newman was also on my art foundation course at UWE and has done very well since specialising in set design and model making (particularly in paper). Her work is very varied and beautiful.
New York based artist Swoon specialises in beautiful intrically cut paper pieces which generally depict people she knows, although often fragile her pieces are made even more precious by their short lifespan.