Unfortunately, I have a BVG card that I need to crack. That one looks nasty, very thick plastic.
They look worse than the really are. I have found that if you clip the upper right hand corner, just enough to get a thin bladed screwdriver in the slot and gently pry back and forth, or up and down if you prefer, the case will usually pop right open. A lot of people use wire cutters to make that clip, I use cable cutters, just because I happened to have a pair, tin snips would probably work as well. I have heard of folks using a pocket knife to open the case, without making a clip, but I've never had any success with it.
Also keep in mind with BVG the card is in a plastic sleeve inside the holder, kinda like a penny sleeve only a little thicker, and the card is in there fairly snug. So, gently tap the card to bottom of the sleeve and clip the top of the sleeve, I use a pair of really sharp, smaller scissors, then just slide the card right out. Ah...fresh air.