What encryption algorithm is context-free, deterministic and symmetric? Meaning the same key is used for encryption and decryption (symmetric). The same message always results in the same cipher text (deterministic) and has no memory (conetext free) like nounce or intialisation vector (IV).

Which algorithms exist and are recommended?
There is SIV mode. It essentially computes a MAC over the plaintext and uses it as IV for encryption. It obviously doesn't offer IND-CPA security, but shouldn't leak anything beyond length of the plaintext and if two plaintexts are identical.

There are some generic constructions as well, like 3 to 4 rounds feistel networks, EME, etc.