There don't really appear to be any.
Let's go through a list of major US conflicts since WWII, and list how their nationals were treated during and after.
Korean War - This was a Civil War where the US was helping the non-Communist side. In other words, Koreans were our allies too. No mass incarceration or deportations.
Vietnam War - Same as above. After the war, there was a decade-long refugee crisis involving around 2 million people. The US took in over 100,000 initially, and many thousands thereafter1.
Lebanese Civil War - No mass internements or deportations. The US took in about 60,000 Lebanese war refugees 2.
First Gulf War - Similar to Korea, in that the goal was helping one Gulf state against another. There were (and are) a fair number of Iraqi-Americans at the time3. No mass internments or deportations. All indications at the time were that, Republican Guard aside, most Iraqis didn't even want to fight, and "surrendered" at the first opportunity. Probably the worst effects were (as usual for the region) felt by the Palestinians. In Kuwait they got a double-whammy; 200,000 fled harassment from their Iraqi conquerors, then another 200,000 had to flee when Kuwait's government was restored, due to their anger at the support Palestinians abroad had shown Iraq during the conflict. Probably some of these refugees ended up in the US, but I'm not aware of large numbers of them doing so.
Afghanistan - The goal of this war was essentially to remove a government that was enabling the terrorist group that carried out the 9/11 attacks. Again, we had lots of Afghan allies. There were no mass deportations or internments in the US, although the US did "intern" the Taliban's money. Perhaps that counts?
Second Gulf War - Situation here was similar to the First Gulf war, although this conflict did end up being far messier. Still, no mass internments or deportations in the US.
So in general, I don't believe the experience of mass internments from WWII has been repeated since. To the contrary, the US has a history of taking in large amounts of refugees fleeing such conflicts.
Before we go away thinking warm fuzzy thoughts though, I feel compelled to point out that these conflicts all have something in common, but different than WWII: they were sold at least in part as the US helping out the country in question. They were not conflicts against a nation that was perceived to have the popular support of its own people there for its actions.
The closest I believe the USA has seen to that was during the Iranian hostage crisis. I distinctly remember a lot of anti-Iranian feeling floating around back then, to the point where if I were Iranian, I certainly wouldn't have felt safe. Ratchet that up a few notches for an actual shooting war, and it may well not have been safe to be an Iranian walking around in public. At that point internment talk ("for their own safety") may start making sense to some people.
1 - A suprising amount of the Catholics in my town I discovered on a visit to Catholic Charities are not Spanish-speaking, but Vietnamese. I of course had Vietnamese-americans as classmates back in the 80's as well. In the 90's on the highest-clearance military job I ever worked on, 2 of my 8 fellow engineers were born in Vietnam. I'm not sure I could even count how many I've played soccer with over the years.
2 - Lebanese Americans are now an integral part of our community here. Among loads of other restaurants two of our oldest steakhouses are explicitly Lebanese, as is my tailor, and multiple co-workers.
3 - I personally play soccer with at least three on occasion. Likely more I don't know about.