Accuracy depends greatly on the machine being used, the operator, and the thickness. I've personally done better than +/- 0.001" work on an OMAX machine, which is probably as accurate as you can get, and only possible for some parts and materials. +/- 0.003" is a much easier target.
When cutting holes, there is sometimes a slight goober at the spot where the material is pierced. Typically, this is the limiter of the tolerance you can achieve. The thicker the part, the harder it is to prevent this defect.
You might find the following page of my web site helpful:
Carl.