USAF has several different special tactical units
Pararescue Jumpers - Elite Medics who go in to prep criticals for extractions. Do both military and civilian rescue ops.
Combat Controllers: Not exactly certain the details, but they go set up US airbases... often by taking foreign ones, historicly. Most of the Combat Controllers I've known (more than a dozen) have sealed awards from Nam, Grenada, Panama, or Europe. Their skills are diverse; their attitudes often quite dangerous. They are rare, and hard to train, and thus prized comodities. One, a male E8 CMSgt, routinely got away with wearing female uniform on base in the early 1990's. Even got it on his Military ID that his CO authorized it. (I had reason to card him... CoSys on a BBS.)
All services also have EOD (Explosive Ordinance Disposal) teams, some of whom are usually trained for specops missions, even tho the primary mission isn't specops.