I used to cut half inch with a laser at my prior employer. That stuff was kinda scary and slow, since we only used one pass, but it looked damn sexy when you removed it, no finishing needed, unless the acrylic melted back together a little bit.
As to how I would do it now, probably a million passes on my small scale engraver for anything of shape.
Now I primarily deal with 1/8" and I usually just score and snap if it's just going to be rectangular, otherwise toss it on the engraver if it's small enough.