Yes, there are, the most recent development I am aware of is from Correa and Bareinboim, which provide:

a complete algorithm with polynomial delay to find all sets of admissible covariates for adjustment when confounding and selection biases are simultaneously present and unbiased data is available.

It finds not only for backdoor adjustment, but also considering possible selection biases.

Yes, there are, the most recent development I am aware of is from Correa and Bareinboim, which provides:

a complete algorithm with polynomial delay to find all sets of admissible covariates for adjustment when confounding and selection biases are simultaneously present and unbiased data is available.

It finds not only for backdoor adjustment, but also considering possible selection biases.