The Brass Wizard is a great solution, but for many of us, the issue is trying not to let it hit the ground in the first place. Like the OP stated, one problem occurs when multiple shooters are all shooting the same caliber, and everybody wants to recover his brass. Having it all mixed up at your feet, or rolling out in front of the firing line, becomes pretty inconvenient. Also, if you're not on the extreme left, everybody else's brass is comin' your way.
I have a different issue: tall grass. Brass seems to just disappear in grass, except when the lawn mower comes by, when it magically jumps up into the blades.
When all is said and done, there's a lot to be said for just having a bag o' brass all ready to go home with you when you're done shooting...no muss, no fuss, no losses.