Let the hive mind of Engadget get that for you.
"We need a digital camera that can be switched on and fire off that first shot fast. It's not a commonly tracked statistic on any review site, and nobody seems to have this information for every camera. We were hoping other readers could inform us as to what small digital cameras can fire off their first pics in under a second (ideally under half a second). It needs to be small, but mostly, just really quick in operation. Thanks!"
Here is a good article that those subscribed to this thread might find interesting.
http://www.anandtech.com/video/showdoc.aspx?i=3048
Covers some good points made by both sides of the discussion.