There are .22 divisions in Steel Challenge and local NRA Action Pistol matches.
Also in Bowling Pin, Silhouette and Bullseye matches.
Also Ruger Rimfire matches.
Steel Challenge is run by USPSA.org.
Silhouette is run by NRA and IHMSA.
Hope this helps some, at least enough to get started looking.
Lock the doors, they're coming in the windows.