Any stream cipher?

If you use the same symmetric key and nonce, the output bit stream should be the same every time.

This is how OpenBSD's arc4random(3) started out: using the output of RC4 and stirring the entropy pool regularly to ensure forward security. (They've since switched to ChaCha20.)

* https://man.openbsd.org/arc4random.3

Remove the stirring and you've got deterministic output. Security comes from the entropy of the initial conditions.