SWM wrote:How many wars on Earth have involved aircraft carriers and battleships?
Arguably quite a lot since they were invented; though often just because they were there and they didn't form a key part. (And this is exactly the kind of open ended question that can cause me to waste a couple hours on wikipedia running down details; so I see Sig partially beat me to it; but darn it after pulling this list together I'm going to post it anyway
)
Attempting to categorize things as wars since 1892
[when the RN adopted the designation Battleship; a convenient break point between iron-clads and battleships)] using Wikipedia's lists of 19th, 20th, and 21st century conflicts by year.
Involved Battleships and/or carriers1897 Greco-Turkish War (battleships only)
1898 Spanish American War (battleships only)
1899–1902 Philippine–American War (USS Oregon participated in blockades)
1899-1900 Boxer Rebellion (USS Oregon participated; peripherally)
1904-1905 Russo-Japanese War (battleships only)
1912-1912 First Balkan War (battleships only)
1914-1918 WWI (battleships and seaplane carriers)
1918 Finnish Civil War (German BBs bombarded Helsinki)
1918–1920 Estonian War of Independence (Russian Bolshevik BB engaged Royal Navy DD)
1920-1925 Rift War (fire support from España)
1937-1945 Second Sino-Japanese War (Japenese Carriers used against China)
1938-1938 Spanish Civil War (Spanish BBs)
1939-1940 Winter War (Soviet Gangut BB bombarded Finland)
1939 Invasion of Poland (battleship)
1939-1945 WWII
1946-1954 First Indochina War (French carrier Arromanches; and (loaned) USS Belleau Wood)
1950-1953 Korean War (USN carriers and BBs)
1956 Suez Crisis (French BB + British & French carriers)
1955-1975 Vietnam War (USN BBs and CVs)
1971 Bangladesh Liberation War (INS Vikrant)
1971 Indo-Pakistani War of 1971 (INS Vikrant)
1975-1990 Lebanese Civil War (USS New Jersey)
1982 Falklands War (RN Invincible-class carriers)
1990-1991 Gulf War (carriers and last use of BBs)
1991-2002 Sierra Leone Civil War (HMS Illustrious)
1992-1995 Bosnian War (carrier airstrikes and no-fly zones)
2001–present War in Afghanistan (USN carriers)
2003-2011 Iraq War (USN carriers)
2011 Libyan Civil War (Charles de Gaulle)
Wars not involving either1894-1895 First Sino-Japanese War (only ironclad "battleships")
1896-1898 Philippine Revolution
1911-1912 Italo-Turkish War (armored cruisers; but no BBs or CVs)
1913 Second Balkan War
1917-1922 Russian Revolution
1917-1921 Ukrainian–Soviet War
1918-1919 Polish–Ukrainian War
1919 Third Anglo-Afghan War
1919–1921 Polish–Soviet War
1919-1921 Irish War of Independence
1919-1922 Turkish War of Independence (unless you count an RN BB providing transport of the last Sultan as he left Turkey)
1920 Franco-Syrian War
1920 Turkish–Armenian War
1920-1921 Franco-Turkish War
1922-1923 Irish Civil War
1926–1929 Cristero War
1927-1936 Chinese Civil War
1932-1935 Chaco War
1935 Austrian Civil War
1941 Ecuadorian–Peruvian War
1945-1949 Indonesian National Revolution
1946-1949 Greek Civil War
1947-1948 Indo-Pakistani War of 1947
1948-1949 First Arab–Israeli War
1952-1960 Mau Mau Uprising
1953–1959 Cuban Revolution
1954-1962 Algerian War
1956 Hungarian Revolution of 1956
1960-1996 Guatemalan Civil War
1960-1965 Congo Crisis
1961-1974 Portuguese Colonial War
1961-1991 Eritrean War of Independence
1962 Sino-Indian War
1962-1970 North Yemen Civil War
1962–1976 Dhofar Rebellion
1964-1974 Mozambican War of Independence
1964-1979 Rhodesian Bush War
1965 Indo-Pakistani War of 1965 (India's carrier was in dry dock)
1967 Six-Day War
1967-1970 War of Attrition
1973 Yom Kippur War
1974-1991 Ethiopian Civil War
1977-1992 Mozambican Civil War
1978-1979 Iranian Revolution
1979-1989 Soviet–Afghan War
1980-1988 Iran-Iraq War
1983-2009 Sri Lankan Civil War
1986-present Somali Civil War
1991 Ten-Day War
1991-2001 Yugoslav Wars
1994-1996 First Chechen War
1996 Operation Grapes of Wrath
1996-1997 First Congo War
1997 Albanian Rebellion of 1997
1998-2003 Second Congo War
1999 Kargil War
1999-2000 Second Chechen War
2003-present War in Darfur
2006-2009 War in Somalia
2008 Russo-Georgian War
2009-present War in Somalia
2008-2009 Gaza War
2011-present Syrian Civil War
2013-present Ukrainian crisis
2015 Yemeni Civil War (2015)
I make it 65 wars without either a battleship or a carrier, vs 27 with at least on battleship or carrier. [Edit: 29; I'd originially missed the Rift War and Spanish Civil War]
So almost 1/3rd of wars (depending on definition) since the invention of the battleship have involved one or the other. Admittedly often only because one side had them available; but still not quite the blowout I first might have thought.