For a two pixel thick card, if you sandwich 19 layers between the Front and the Back, you can get a very close to side on view without the thinning. I looks good until you get to between 89.6 and 90.4 degrees.
Put this expression on position of a duplicated layer:
position+[0,0,(index-1)*0.1]
It separates all succeeding layers by 1/10th of a pixel, so you need to dup the layer 19 times, then add your back (with the same expression), and parent them all to the Front. I think it looks better when the sandwiched layers (all those between the Front and Back are a different color than the back.
Anyway, like Steve said, don’t linger on 90 degrees and you’ll be good. This 21 layer sandwich lets you get much closer to 90 degrees than just two layers. Also the final card is two pixels thick, anything less can flicker if at an awkward angle.
If you want a thinner card, a one pixel setup isn’t so bad (just looked at one)depending on the compression of the final output, i think.
Also if you add bevel Alpha to the front and the back of the card, you get a nice little dark line around highlighting the edge of the card. I used 1 pixel as the Edge thickness.