I already know AES produces a "random" output.
Its ciphertext doesn't follow a pattern and is indistinguishable from noise.
Is this common for most ciphers?
Strictly speaking, we can't know for sure that the output of AES is indistinguishable from random noise. It's conjectured to be true but no "proof" of that fact exists.
For most commonly-used ciphers, it is conjectured that their output is indistinguishable from random. Specifically, modern ciphers are conjectured to be "strong pseudorandom permutations", which means that an adversary given encryption and decryption oracles for the cipher can't distinguish it from a random permutation.