One very surprising example of someone playing with single eye vision. Mansur Ali Khan Pataudi (http://en.wikipedia.org/wiki/Mansoor_Ali_Khan_Pataudi) played in the Indian cricket team as a batter for many years. He lost one eye at the age of 20, but surprisingly still managed to bat.
This is particularly striking since batting involves judging the ball that comes at you with some speed. His previous judgement and muscle memory might be useful of course. But I'd love to read about any research on this, if anyone is aware...
Apparently one of the guys involved in early Air Force space suit research had lost an eye in an accident (no, not Yeager, can't remember the name right off). It created a bit of a stir when they tested him post-accident and discovered that his depth perception had actually /improved/ now that he only had one eye.
Unfortunately, despite this, they weren't willing to let him go back to flying fighter planes, which is why he got into space suit research...
Uninformed guess: the speed of a top-level cricket delivery (~100mph) is such that stereoscopic vision doesn't really play a role. It's all in the timing.
Squirrels have their eyes on the sides of their heads (herbivore norm). They live in trees, jumping from branch to branch.
They do it by moving their head - watch for a while, they almost always run a little bit along the branch before jumping. Sort of like synthetic aperture radar.
This is particularly striking since batting involves judging the ball that comes at you with some speed. His previous judgement and muscle memory might be useful of course. But I'd love to read about any research on this, if anyone is aware...