All modern ciphers aim to produce what looks like random data - it's one of the core principles of information theory.
Ciphers that don't produce apparently random looking data tend to have fairly serious flaws, since this provides an avenue for attack - going back to pre-computer ciphers, enigma had this issue, and fell, in part, due to pattern recognition (specifically, someone spotted that A could never map to A, reducing the search space significantly, among other issues).
Any reasonable modern block cipher should be both fast and generate apparently random data, if used properly.