Just looking through my cards now.

NW sends out thick Elite cards (been too long to remember if they send out GM cards). Just got my Silver card (fell back from Plat)

UA sent out thick cards (3P and GM), when our accounts were opened via a mileage sign-up promo, and not a mile has been flown (oops!).

DL sent new thick GM cards, when our address changed.

CO didn't send out any cards, should call them for new ones.

AA might have sent cards, that was 10 years ago.

As per non-airline:

Hertz sent out a #1 Club Gold thick card, and it's showing it's age after 10 years (wouldn't mind a new one)!

Starwood Gold sent out a thick card.

Trip Rewards sent a thick card, after one stay.

Priority Club is a printout, even after 7000 points.

Steve B.