DE = the old fashioned Double Edge safety razor. I used to use one years ago, being a fan of the archaic. Had the badger brush, mixing bowl, 5 different soaps, etc. Mostly I just cut myself though. They're tricky to use, cartridge razors do most of the work for you.
DE are all the rage with the posters on shaving forums, though. Yes, there are such things. One has 4 grades of closeness, D3 is best, any cartridge is worst.