Lasers work well for cutting plastics- they’re fast and accurate, and leave a nice shiny edge, which is usually a good thing. There are however some drawbacks. Those nice looking shiny edges can develop cracks when glued, because they have stress “baked in” by the laser.
And you also can’t add 3D features like this nut pocket:
With a router you can also add bevels to the edges of a part like this:
The part in the picture above is made from extruded acrylic. It doesn’t machine quite as nicely as the cast acrylic in the first two pictures, but with good sharp tools and appropriate cutting strategies it can be cut quite well.
If you have parts that were already cut on a laser and need some additional features added to them I can definitely help.