Airborne forces
In February 1967 Operation Junction City was launched, it would be the largest operation the Allied forces would assemble. During this operation, 845 members of the 2nd Battalion, 503rd Airmen (Airborne), the 319th Artillery (Airborne), and elements of H&H company of the 173rd Airborne Brigade made the only combat jump in Vietnam.

Rhodesian Bush War: The men of the Rhodesian Light Infantry made more parachute jumps than any other military unit in history. While an Allied paratrooper of the Second World War would be considered a "veteran" after one operational jump, an RLI paratrooper could make three operational jumps in a single day, each in a different location, and each preceding a successful contact with the enemy. Between 1976 and 1980, over 14,000 jumps were recorded by the Rhodesian Security Forces as a whole.
The world record for operational jumps by an individual soldier is held by Corporal Des Archer of 1 Commando, RLI, who made 73 operational jumps between 1977 and the end of the war.
Fireforce is a variant of the tactic of vertical envelopment of a target by helicopter-borne and small groups of parachute infantry developed by the Rhodesian Security Force.
Fireforce counter-insurgency missions were designed to trap and eliminate insurgents before they could flee. The Rhodesian Security Force could react quickly to insurgent ambushes, farm attacks, Observation Post sightings, and could also be called in as reinforcements by trackers or patrols which made contact with the enemy. It was first deployed in January 1974 and saw its first action a month later on 24 February 1974. By the end of Rhodesian operations with internal peace agreements, Fireforce was a well-developed counterinsurgency tactic.
Fireforce was an operational assault or response usually composed of a first wave of 32 soldiers carried to the scene by three Alouette III helicopters and one Dakota transport aircraft, with another Alouette III helicopter as a command/gunship aircraft and a light attack aircraft in support. One of the advantages of the Fireforce was its flexibility as all that was needed was a reasonable airstrip. It was such a successful tactic that some Rhodesian Light Infantry soldiers reputedly made as many as three parachute combat jumps in one day.

Angolan Bush War: Cassinga: During the War in Angola, paratroopers of the South African Army attacked a South West Africa People's Organization (SWAPO) military base at the former town of Cassinga, Angola on 4 May 1978. Conducted as one of the three major actions of Operation Reindeer during the South African Border War, it was the South African Army's first major airborne assault.

Soviet and Russian VDV: The Soviet Union maintained the world's largest airborne force during the Cold War, consisting of seven airborne divisions and a training division. The VDV was subordinated directly to the Ministry of Defense of USSR, and was a 'prestige service' in the armed forces of the USSR and Russia to reflect its strategic purpose. Recruits received much more rigorous training and better equipment than ordinary Soviet units. Unlike most airborne forces, which are a light infantry force, VDV has evolved into a fully mechanized parachute-deployed force thanks to its use of BMD-series light IFVs, BTR-D armoured carriers, 2S9 Nona self-propelled 120 mm gun-howitzer-mortars and 2S25 Sprut-SD 125 mm tank destroyers.
The VDV have participated in virtually all Soviet and Russian conflicts since the Second World War, including the Soviet–Afghan War. As an elite force, the VDV developed two distinctive items of clothing: the telnyashka, or striped shirt, and the famous blue beret. Airborne assault (десантно-штурмовые войска or DShV) units wore similar striped shirts (as did the naval infantry) but used helicopters, rather than the Military Transport Aviation's An-12s, An-22s, and Il-76s, which carried the airborne troops and their equipment.

Soviet Glider Infantry: The Soviets maintained three glider infantry regiments until 1965.

Operation Meghdoot: Operation Meghdoot (lit. "Operation Cloud Messenger"), launched in the early hours of 13 April 1984, was the codename given to the preemptive strike launched by the Indian Armed Forces' to gain control of the Siachen Glacier in Kashmir, precipitating the Siachen conflict.
Executed in the highest battlefield in the world, Meghdoot was the first ever military offensive of its kind. The operation was a success, resulting in Indian forces gaining control of the Siachen Glacier in its entirety.

Recent history: With the advantages of helicopter use, airborne forces have dwindled in numbers in recent years.

On July 20, 1974, several landings took place at north of Nicosia, during Operation Atilla.
The Battle of Kolwezi was an airborne operation by French and Belgian airborne forces that took place in May 1978 in Zaire during the Shaba II invasion of Zaire by the Front for the National Liberation of the Congo (FLNC). It aimed at rescuing European and Zairean hostages held by FLNC rebels after they conquered the city of Kolwezi. The operation succeeded with the liberation of the hostages and light military casualties.
During the 1983 Invasion of Grenada, the 75th Ranger Regiment made a combat jump on Point Salines International Airport.
In 1989 during the U.S invasion of Panama the U.S. 82nd Airborne Division made its first combat jump in over 40 years. The 1st Brigade of the 82nd secured Omar Torrijos International Airport in Tocumen, Panama. The jump followed the 1st Ranger Battalion(+) of the 75th Ranger Regiment's combat jump onto the airfield. M551 Sheridan tanks were also dropped by air, the only time this capability was used in combat. At the same time as the combat jump onto Omar Torrijos International Airport, the 2nd and 3rd(-) Ranger Battalions, along with the 75th Ranger Regiment regimental headquarters, conducted a combat jump onto Rio Hato Airport.
On September 16, 1994, elements of the U.S. 82nd Airborne Division planned to jump into Port-au-Prince Airport in Haiti as part of Operation Restore Democracy, an effort to overthrow the military dictatorship of Raoul Cédras, and to restore the democratically elected president, Jean-Bertrand Aristide. As they were already in the air to be deployed over the target, Cédras finally stepped down from his rule in part due to the diplomatic efforts led by former President Jimmy Carter, averting the entire mission.
On October 19, 2001, as part of Operation Enduring Freedom, the 3rd Ranger Battalion and a small command and control element from the regimental headquarters of the 75th Ranger Regiment jumped into Kandahar to secure an airfield.
On March 23, 2003, 3/75 Ranger Regiment conducted a combat jump into northern Iraq to seize a desert airfield.
On March 26, 2003, the U.S. 173rd Airborne Brigade conducted a combat jump into northern Iraq, during the 2003 invasion of Iraq, to seize an airfield and support special forces (Task Force Viking). The paratroopers departed from Aviano Air Base, Italy on fifteen C-17s.
In 2009, Pakistan Army's paratroopers conducted combat jump operations during Operation Black Thunderstorm and Operation Rah-e-Nijat against the Pakistani Taliban in northwest Pakistan, to seize control of strategic mountain areas in order to support special forces and infantry troops.
In January 2013, 250 French paratroopers from the 11th Parachute Brigade jumped into northern Mali to support an offensive to capture the city of Timbuktu.

Doctrine: NATO Tactical Air Doctrine ATP-33 B

See also: Airborne gun
High-altitude military parachuting
List of airborne artillery units
List of paratrooper forces
Pathfinder (military)

Notes: 

References: Hastings, Max, Armageddon – The Battle For Germany 1944–45, Macmillan, 2004
L, Klemen (1999–2000). "Forgotten Campaign: The Dutch East Indies Campaign 1941–1942". Archived from the original on 2011-07-26.

Further reading: Ambrose, Stephen E., Pegasus Bridge. Pocket Books, 2003
Ambrose, Stephen E., Band of Brothers. Pocket Books, 2001
Arthur, Max, Forgotten Voices Of The Second World War. Edbury Press, 2005
Balkoski, Joseph, Utah Beach: The Amphibious Landing and Airborne Operations on D-Day, June 6, 1944. Stackpole Books US, 2006
Bando, Mark A., 101st Airborne: The Screaming Eagles at Normandy. Motorbooks International, 2001
Blair, Clay, Ridgway's Paratroopers – The American Airborne In World War II. The Dial Press, 1985
Buckingham, William F., Arnhem 1944. Tempus Publishing Limited, 2004
Buckingham, William F., D-Day – The First 72 Hours.