What is the type of blackjack game that uses all of the cards in the deck?

I think you are a little confused. Blackjack always uses all 52 cards. If you play in a casino, you can play with 1 deck up to 6 decks usually. This varies from casino to casino and even table to table. In the casino, most tables will shuffle before all the cards are played. This is done to prevent card counting. Once again this varies from casino to casino and even table to table. There is no hard rule when the deck has to be shuffled. Usually the dealer will place a shuffle card somewhere near the bottom of the deck. The deck is shuffled once the shuffle card comes up, Hope that helps.