I just used 1/2" birch veneer plywood, which is what the tailpiece is made of. Since they were only about 16" wide, which is what a stud dimension is, I thought they would be as solid as 1/2" drywall which is what the wall of the room would be. I've read other posts that people have used 3/4" plywood. Again, I don't notice any problems sound wise. Mine are solid and removable.
I'm assuming, since the speakers are plywood, the 60th Anniversary sides would be also, I can't however say whether they're 1/2" or 3/4".....