Imagine there is a $n$ bit block cipher. The attacker has harvested some how all possible $2^n$ cipher texts for some given key. Without the knowledge of the distribution of input domain as in frequency counts or some statistical information of input data. Is it possible to perform ciphertext-only attacks? Are there any examples?
Edit: Stated in other way, what does it take to launch ciphertext-only attacks on block ciphers? Can you provide any examples?