A couple semi-auto action types have been missed here. Most common types, as has been mentioned, are simple blowback (mass delayed) and the Browning-derived tilting barrel (actually a short recoil system). In addition:
-Gas delayed (Steyr GB, HK P7, Micro Desert Eagle): gas pressure slows slide velocity until bullet exits barrel and pressure drops
-Gas operated (Desert Eagle): bled gas pressure unlocks locked breech
-Roller delayed (CZ-52, Korth PRS): mechanical advantage of roller system slows slide velocity
-Rotating short recoil (Beretta PX4, now Keltec PR-3AT): barrel and slide recoil together until rotational cam separates them
-Hinged block short recoil (Beretta 92, Walther P38): barrel and slide recoil together until hinged block drops to separate them
-Floating chamber/barrel delayed blowback (FN 5-7): barrel and slide recoil together locked only by case friction until barrel movement is stopped
-Long recoil (very early auto pistol designs): slide and barrel reciprocate together for full length of cartridge before separating and barrel returning to firing position while shell is ejected/new round loaded