The ply I've been using has a lot more than 5 layers - but it's not completely void free, so I'll look for the better quality.
At Southern Lumber this morning they offered me 4'x8'x3/4" Baltic Birch ply for $220 a sheet! But it's clearly a better product...
Here's a picture of what I've been using for my other projects - this is a layup of two thicknesses of 3/4" for a shoe rack.