1st. Keith Miller
565 points
Batting: 4th (287 points)
Bowling: 4th (278 points)
Wow, that's some serious synchronicity with the rankings. 4th and 4th and less than ten points between bat and ball. The truest of all-rounders, Miller's position in the Australian test team was akin to that kid in the U/12s who the coach loved and let bat and bowl all the time. He nearly always took the new ball with Lindwall. He nearly always batted at 5. Sometimes 4. Occasionally 3. He scored test tons at all 3 of those positions and usually came in right after Harvey. A few times it was Bradman. He was expected to make match-winning contributions with both bat and ball his whole test career.
Let's look at his batting first. He was said to be a classical batsman who possessed all the shots in the book. He averaged nearly 50 in first class cricket and was probably expected to average somewhere near there in tests. He didn't however. An average of 37 is often said to not do justice to his skill. He scored 7 test tons, which is the same amount as Clem Hill who played about the same amount of matches(like Clem he was unlucky enough to score a 99 too). Trumper only got one more than Miller in a test career of similar length. Miller scored one ton early on in his career, a few in the middle and a few more near the end. So they were spaced out; he was always capable of getting a big score. There was no obvious strong or weak period. But he should have gotten more than Clem and Trumper. He batted in a post-Bradman world where a sub-40 average is rarely considered a successful batting career.
In his defence, he played a little over half his tests against England which possessed its strongest ever array of bowlers. They had crazy depth with their quicks and spinners throughout Miller's career. He also played a lot against the West Indies who had the spin twins and South Africa who had Tayfield. He didn't get the chance to really cash in against minnow attacks, scoring only 2 fifties against India, NZ and Pakistan in a limited amount of matches. He always played against the best and had his fair share of victories against them. He apparently had a casual attitude to the game which meant he might have tried to entertain with the bat moreso than knuckle down. And let's not forget he used up energy opening the bowling as well.
His bowling was perhaps more important to the team given the amount of batting depth they had at the time. His bowling record fits the more conventional idea of an ATG, so at a glance it's tempting to consider him a bowling all-rounder. He employed a wide range of tricks from slower cutters to yorkers to lethal bouncers. He was quick too. He didn't take a huge amount of wickets per match, but he kept things tight and took them cheaply, claiming them at just under 23 a piece. He once had to shoulder the burden of 70 overs in an Ashes test when Lindwall picked up an injury. Miller got a 10fer for his troubles. His bowling was something his batting wasn't at test level, reliable.
Miller was basically icing-on-the-cake to his team, he played alongside many legendary players. In this way he was different to all 4 of the big four All-rounders, who were clearly their country's most valued asset during their prime. Miller's prime was basically his whole career. It was brief due to the war but he was always consistent throughout. Whether or not his bowling was overrated or batting underrated or vice versa, his stats still make for some amazing reading. A very all-rounder player, and a worthy #1 in this list.
Thanks for the all nice feedback and to everyone who casted votes!