Several different films are currently being plotted, some with spinoff characters and some set in different time periods, as well as a proper sequel starring Taron Egerton.
It will be interesting to see how the response to Kingsman: The Golden Circle impacts the franchise.
Certainly, these other sequels will be looking for a warmer reception than the one the last movie got, which could mean some reevaluation before they make it to the screen to make sure the films are up to snuff.