BoxMaker is an excellent website where you can input dimensions and tolerances and they will generate a PDF you can edit in Illustrator to cut a notched box on a laser-cutter.

Example Images

Tested Materials List and Laser Kerf Adjustments

3/16" white maple veneer press-board
Hand Pressure, Cut Width = 0.0125
Hammer Pressure, Cut Width = 0.015

1/4" and 1/8" Hardboard

Hand Pressure, Cut Width = 0.015