Carbon fiber reinforced plastics (CFRPs) are widely recognized as being a great lightweight construction material e.g. for the improvement of dynamic performance in the aerospace, automotive, transportation and energy sector. While providing outstanding properties, major resistances to the dissemination of CFRP are the high manufacturing and processing costs. Laser processing offers specific benefits such as highly flexible, wear-free cutting and so contributes to the reduction of processing costs. However, the heat generated during the laser process can lead to heat affected zones (HAZ). These HAZs might affect the mechanical properties and aging resistance. Current laser processing strategies use various passes of the laser beam with high speed on the identical cutting contour combined with cool-down periods for heat dissipation. These adapted strategies help to minimize the HAZ but also lead to low effective cutting velocities. For an improved establishment of laser based processing within industry, the feed rates need to be improved and material-specific temperature limits have to be met by help of efficient and industrially applicable techniques.