Miller, who was considered the greatest Australian all-rounder of all time and a member of Donald Bradman's celebrated 1948 "Invincibles" team generally seen as one of the greatest of all time, played 55 cricket Tests for Australia.
He was also a World War II fighter pilot who flew many Mosquito sorties over Germany, an Aussie Rules footballer, a media personality and a raconteur.
The mourners were led by Miller's second wife Marie, his four sons Bill, Peter, Denis and Bob, his seven grandchildren and four great-grandchildren.
Former Australian Test captain Richie Benaud, who played alongside Miller towards the end of his career, said everything written and said about Miller since his death was true.
"His name will live for as long as cricket exists," Benaud said on Wednesday.
Another former Australian captain Ian Chappell told of being taken to the Adelaide Oval by his father in the early 1950s to be given one simple instruction: "Watch Miller."
"That's all my father told me, and that was all that I did," Chappell told the congregation.
Among others who paid tribute to Miller were the great distance runner and now governor of Victoria state, John Landy, Miller's teammates from the "Invincibles" team Neil Harvey, Sam Loxton and Bill Brown, and numerous Test players of past and present.