No wars on a global scale are linked with the rise of Voldemort, neither his first time or his return.
Tom Riddle returns to the wizarding world in 1970 and goes by the name of Voldemort. He gathers power and wreaks havoc until his attempted murder of Harry Potter in 1981. In 1991 the Harry Potter books begin and Voldemort starts his path back to existence, until the end of the Harry Potter books in 1998.
There are many wars that are going on in various parts of the world, but all are mostly local and only have minimal involvement from outside parties.The UK was actively participating in the Sarawak Communist Insurgency, the Dhofar Rebellion and The Troubles during the 70’s, but all of those started before the rise of Voldemort.
A few wars involving the UK did occur in the 90’s, but all were localized civil wars: The Sierra Leone Civil War, the Nepalese Civil War and the Afghan Civil War .