I’ll take a standard at this.
Laser: Best for thinner less substantial materials, greater material variety, can generate production files with a few tweaks to the design files, capable of cutting arbitrary shapes with near-zero kerf as well as raster etching, cut edges are burned and may need clean up
CNC Router: Best for thicker more substantial materials, typically limited to wood (some additional materials with advanced class), more labor-intensive workflow to get g-code from design files, need to consider material and cutter properties, limitations on finished product shape because of bit kerf, cut edges are typically nicely finished relative to laser