The information presented below is taken from a report produced by AdBusters.
Though the motivations for some of these military actions may be questioned, the fact of American military action is beyond doubt in each case. William Blum in his book "Rogue State" has made a similar list of American military interventions.

Assignment: List direct American military intervention on other nations' soil from World War II to the present day. Do not include: indirect military involvement such as arms sales, however significant (e.g. Israel); nuclear threats or nuclear testing (e.g. Marshall Islands); establishment of controversial bases or defense systems (e.g. Western Europe, Saudi Arabia); humanitarian missions that did not involve combat; or the geopolitical impacts of military treaty development, acceptance or rejection. Discuss.

WORLD WAR II 1941-45
Fought Axis forces for three years; first nuclear war, against Japan.

GREECE 1947-49
Supports and directs extreme right in civil war.

PHILIPPINES 1948-54
CIA directs war against leftist Huk Rebellion.

PUERTO RICO 1950
Nationalist insurrection challenges American occupation; US command operation puts down rebellion.

KOREAN WAR 1950-53
Joins South Korea and other allies to fight China and North Korea.

IRAN 1953
CIA directs overthrow of elected left-leaning government, installs Shah.

GUATEMALA 1954
CIA directs exile invasion and overthrow of leftist government; military junta installed.

LEBANON 1958
US occupation ends under UN Observer Group.

VIETNAM WAR 1960-75
Fought South Vietnam rebels and North Vietnam forces; 1-2 million killed.

CUBA 1961
CIA-directed "Bay of Pigs" invasion.

LAOS 1962
Green Berets active in training, military buildup, support of rightist forces during guerrilla war.

PANAMA 1964
Control of Panama Canal Zone challenged; rioting against US forces.

INDONESIA 1965
Army coup assisted to an unknown degree by CIA; left-leaning elected government toppled; between 250,000 to 1,000,000 lives lost.

DOMINICAN REPUBLIC 1965-66
Troops invade during election as pre-emptive action against leftist rebellion or communist government.

GUATEMALA 1966-67
Command operation; Green Berets aid in combat against leftist rebels.

CAMBODIA 1969-75
War against leftist forces; intense bombing; up to 2 million killed.

OMAN 1970
US directs Iranian invasion in support of Omani government against Marxist "Dhufar rebellion."

LAOS 1971-73
US directs South Vietnamese invasion.

CHILE 1973
CIA-backed coup ousts elected leftist president; rightist dictator installed.

ANGOLA 1976-92
CIA assists South African-backed rebels.

EL SALVADOR 1981-92
Advisors aid government forces against leftist rebels.

NICARAGUA 1981-90
US directs guerrilla exile invasion ("Contra war") against revolutionary government; US forces plant mines.

LEBANON 1982-84
Marines help police negotiated evacuation of Palestine Liberation Organization; US forces combat Muslim and Syrian fighters in support of Christian government.

HONDURAS 1983-89
Military bases established for US-backed "Contra war" with Nicaragua.

GRENADA 1983-84
US troops topple pro-Cuban government.

LIBYA 1986
Air strikes against nationalist government with terrorist links.

BOLIVIA 1986
Operation Blast Furnace; US troops and Bolivian police face peasant resistance in cocaine-producing regions.

IRAN 1987-88
Intervention on side of Iraq in war against Iran.

U.S. VIRGIN ISLANDS 1989
Troops restore order after civil unrest spurred by Hurricane Hugo.

PHILIPPINES 1989
Armed US aircraft support constitutional government against failed coup.

PANAMA 1989-90
Nationalist government ousted by 27,000 US soldiers; more than 2,000 people killed.

GULF WAR 1990-
Operation Desert Storm drives Iraq out of Kuwait; 200,000+ killed. No-fly zone ongoing; periodic bombing.

SOMALIA 1992-94
US-led United Nations occupation during civil war.

YUGOSLAVIA 1992-94
US troops in NATO operation to enforce sanctions against Serbia and Montenegro.

BOSNIA 1993-95
Operation Deny Flight patrols civil war no-fly zone; air combat, Serbs bombed.

HAITI 1994-96
Troops restore elected leftist president to office three years after coup.

CROATIA 1995
American and NATO forces attack Bosnian Serb airfields prior to Croatian offensive.

SUDAN 1998
Pharmaceutical factory with terrorist links bombed; retaliation for terrorist attacks on US embassies in Africa.

AFGHANISTAN 1998
Bombing of Islamic fundamentalist military camps; retaliation for terrorist attacks on US embassies in Africa.

YUGOSLAVIA 1999
US aircraft play the key role in heavy NATO air strikes against Serbian forces in Kosovo.

COLOMBIA 2000
Special Forces train anti-narcotics and anti-rebel battalions, supply combat aircraft.

MACEDONIA 2001
US forces in NATO's Operation Essential Harvest partially disarm Albanian rebels.

AFGHANISTAN 2001
In retaliation for terrorist attacks in US, forces attempt ouster of Afghanistan's Taliban government, attack bases linked to Islamic militant Osama bin Laden.

The list here, by contrast, is slightly different.

Former President Jimmy Carter has explained, "We have only to go to Lebanon, to Syria, to Jordan, to witness firsthand the intense hatred among many people for the United States, because we bombed and shelled and unmercifully killed totally innocent villagers, women and children and farmers and housewives, in those villages around Beirut...as a result, we have become a kind of Satan in the minds of those who are deeply resentful. That is what precipitated the taking of hostages and that is what has precipitated some terrorist attacks." (New York Times-3/26/89)

Further reading:
American munitions often make use of depleted uranium
List of US military interventions
http://www.historyguy.com/american_military_history.html
http://www.alternet.org/issues/index.html?IssueAreaID=29
Telling pictures of the US bombing of Belgrade http://go.to/bombe
http://www.tanbou.com/2001/fall/USForeignPolicyElias.htm
A great book on US cold war psychology The Ugly American - contrary to the title the book is very positive about US intervention in SE Asia
War is expensive http://news.bbc.co.uk/1/hi/business/2062429.stm