I used to use a laser cutter a lot when i was a school D&T technician, Co2 lasers will cut a lot of things but struggle with others, Acrylic (perspex) basicaly vaporises & turns to steam when the laser hits it, so the cut is clean. Polycarbonate reacts differently I was told something to do with the wavelength of the laser, It will melt & burn instead of cutting cleanly.
PVC when cut will give off chlorine gas & hydrogen chloride gas, this will react with any moisture vapour in the air to give you hydrochloric acid fumes which will eat the innards of your laser cutter away.
Polypropylene can be cut but melts & leaves a poor cut.
Leather & similar organic stuff can be cut & engraved but stink to high heaven.
Looking forward to getting my own new laser but it wont be for a while yet until mums house gets sold!
I can potentially do this for you.
Polycarb cuts but leaves nasty burn marks and stringy soot that's all kinds of nasty!
Let me know size and thickness and I will see what I can do.