Thats fine on small sheets but iv had a few issues doing that with large sheets of cladding (having to score on both sides alone is a pain....and end up with a ruff edge that needs sandimg back.
Apart from a fine toothed small circular saw mounted into a bench or something I can 't think of much better.
I have heard that you can laser cut boards with a standard (>25W) laser cutter. Presumably this is not through the copper though. Those types of laser cutters can cut through thin glass sheets but not metal.
Not a cheap option though... Just throwing it out there in case someone is interested.
I wouldn't have thought it would be that great as they are designed to make a score line on the top of the tile which the tile is then broken along. It wouldn't be any better than a knife and a ruler...
I've only ever used a jigsaw. It's pretty imprecise, and requires two people (at least for me), but it's quick. I just leave an extra centimeter or so around the board, and sand off the rough edges.
It has a cutting wheel, like a big glass cutter, guided by the rails and pushed by the handle you see. That scores the tile across its top surface. The handle is also a lever arrangement and moves a bar between 2 stationary bars. You put the scored tile under the 2 stationary bars and you apply pressure to the third bar aligned with the score with the handle and it snaps the tile. It works at one edge of the tile, so it would only work with very brittle materials, circuit board has a bit of give in it so it break at the end but the crack wouldn't go right across the material as it would with a tile. I suspect the cutting wheel wouldn't work too well on a relatively soft (in comparison to a tile) surface of circuit board.
I would be wary of using a jigsaw on small PCBs (under 8"x8" - yeah, I know it ain't metric), unless you have a way to support and clamp it while you cut it; otherwise it doesn't seem too safe.
For smaller PCBs, as well as really small and intricate cutouts, the best thing to use is scroll-saw:
...which is a machine meant for such work. Unfortunately, a good one (cast base and table) can be expensive (note: the one I posted I don't consider worth a hill of beans; it is for illustration only). It's worth finding one, though, if you can - the heavier the frame, the easier the cuts will be, plus less vibration.