There are still commandos in operation in the armies of the world countries. Britain maintains one brigade of Commandos as part of the Royal Marines; French have Fusiliers Marins; US Special forces and Delta Force ; Dutch Army Commandos ..
In the US
"Green Berets" specialize in Foreign Internal Defense (FID) - e.g. training foreign troops; many of the "military advisors" in South Vietnam in the 1960s were Special Forces soldiers. It is worth noting that most Green Berets prefer to call themselves "Special Forces soldiers".
Delta Force specializes in counterterrorist operations.
US Navy Seals specialize in Maritime assault as well as Special Forces Missions (Direct raids, hostage rescue, etc.)
US Air Force Combat Controllers specialize in targeting enemy positions for bombing runs
US Air Force Pararescuemen (PJ's) specialize in Combat Search and Rescue
US Army Rangers Specialize in quick direct action raids
US Air Force Commandoes specialize in infiltration and exfiltration of SF teams
160th SOAR Specialize in Special Forces Insertion, Extraction and Support missions
US Air Force Combat Weathermen specialize in meterology
US Army PSHYOPs Specialize in civil affairs and pshycological operations (i.e. getting enemies to surrender).
In the UK
No. 3 Commando, the first unit of its kind, was envisioned as a raiding unit.
Special Air Service (SAS), the principal special forces for the British Army
Special Boat Service (SBS), a special forces unit of the British Royal Marines
Royal Marines (RM), Is the Royal Navy's Infantry, they specialize in Air Assault and Amphibous Assault
In Canada
Joint Task Force 2 (JTF2), a small, secretive, SAS-type, strategic-level, military counter-terrorist unit for use in support of the national police .
The Canada's Special Operations Group, there missions are the exact same as any other Special Operations units.