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http://en.wikipedia.org/wiki/List_of_war...%80%931989

Lots of potential there. It's divided by decade, here is a sample;

1960 to 1969

* 1960-1965 "Congo Crisis"
* 1960-1996 Guatemalan Civil War
* 1961 Bay of Pigs Invasion
* 1961-1991 Eritrean War of Independence
* 1961-1974 Portuguese Colonial War
o 1961-1974 Angolan War of Independence
o 1963-1974 Guinea-Bissauan War of Independence
o 1964-1974 Mozambican War of Independence
* 1961 Invasion of Goa
* 1962 Sino-Indian War
* 1962 Indonesian Annexation of Western New Guinea
* 1962-1966 Indonesia-Malaysia Confrontation
* 1962-1970 Yemen Civil War
* 1962-1975 Dhofar Rebellion
* 1963 Sand War
* 1963-1967 Shifta War
* 1964-Present Colombian Armed Conflict
* 1965 Dominican Civil War
* 1965 Indo-Pakistani War of 1965
* 1965-1993 Chadian Civil War
* 1965-1989 South African Border War
* 1966-1988 Namibian War of Independence
* 1966-1979 Second Chimurenga(Rhodesian Bush War)
* 1967 Chola Incident
* 1967 Six-Day War (Third Arab-Israeli War)
* 1967-1970 Nigerian Civil War
* 1967-1989 Second Malayan Emergency
* 1967-Present Communist Insurgency in the Philippines
* 1968 Prague Spring in Czechoslovakia
* 1968-1970 War of Attrition
* 1969-Present Islamic Insurgency in the Philippines
* 1969 Football War
* 1969 Sino-Soviet border conflict
* 1969-1994 The Troubles in Northern Ireland

So anyone getting tired of NATO pounding the Warsaw Pact, there you are.