The Australian and New Zealand soldiers had the luck of having previous experience of counterinsurgency during the British led Malayan Emergency (1948-1960) which is currently seen as the textbook example of a successful counterinsurgency war. Since the Australian and New Zealand soldiers were not tied to the American doctrine when it came to carrying out the war. The Australian doctrine was fundamentally different from the American: While the US strategy was built on attrition, firepower and body count - the Australian on the other hand was built on counterinsurgency in its truest form: the slowest kind. Australia could and had the patience to approach the Vietnam War as it should be, something which had been learned during the Malayan Emergency. The time that the Australian and New Zealand contingents to the Vietnam War spent in the province of Phuoc Toy clearly showed that their strategy came to dominate the province in a way that seemed perfect for the job. Unfortunately, one province amongst many won't win a war and it was clear in the end that while their example had been excellent, it was meaningless in the face of unwillingness from the US military leadership to change strategy.

In recent time, South Korea's involvement in the war has been overshadowed by the multiple claims of war crimes that the South Korean Army committed during the war. The South Korean had the largest contingent of troops after the US and essentially followed the same doctrine as the US forces. Unfortunately, with no previous experience in counterinsurgency and with an intense hatred for communism after the Korean War (1950-1953), the same factors which led to war crimes amongst the Americans can be applied to the South Koreans.

Australia also had a very visible anti-war protest movement. When Lyndon B Johnson visited Australia in 1966, anti-war protesters blocked the route. Allegedly the Premier of New South Wales, Sir Robert Askin, joked to Johnson that their driver should run them down.

The opposition movement grew when conscription was introduced, and even middle class mothers became involved in opposition to the war. There were large scale protests (called moratoriums) in Australia in 1970-71.

Despite Australian not fighting directly along side US troops, Australian soldiers who returned from Vietnam were called 'baby-killers' and spat on as the atrocities tarnished the Australian forces in the public's mind also.

This is good example of a veteran's story: http://www.abc.net.au/local/stories/2009/04/21/2548547.htm

Vietnam war veterans were even looked down on by WW2 veterans, being unable to join the Returned Serviceman's League for many years.

Much like their American counterparts they also suffered trauma from their experiences and only gained recognition for their service in the late 1980s. A Vietnam War Memorial was constructed in 1992 in Canberra.

http://vietnam-war.commemoration.gov.au/aftermath/veterans.php

http://m.smh.com.au/national/lbj-came-all-the-way--but-few-followed-20111111-1nbrg.html

http://vietnam-war.commemoration.gov.au/conscription/moratoriums-and-opposition.php

http://en.m.wikipedia.org/wiki/Military_history_of_Australia_during_the_Vietnam_War

While national service had been abolished in New Zealand by the time troops were deployed to Vietnam, there was still very much a youth culture that tapped into broader western trends. There was a peace movement and returning servicemen were advised to change out of their uniform as soon as possible by the time they returned to NZ. NZ sent professional soldiers and the NZ Army had enjoyed success fighting a similar campaign against insurgents in the Malayan Emergency. There's an interesting documentary detailing NZ servicemen's experiences here.