I purchase my plywood through a specialty wood store, they've always been able to call the manufacturer and get what ever spec info like glue type I need quickly. I've found that a lot of Cabinet grade plywood has exterior glue.
When you're not sure, just take a small piece and do a 30 minute boil test.
I really like BS1088 Okoume plywood, although you do pay a higher price for the quality and weight savings. Other features of BS1088 grade plywood worth thinking about are void-free construction and higher ply count.