Provided are anti-PD-L1 antibodies, variants, mutants, and antigen binding fragments thereof. Also provided are isolated nucleic acid molecules that encode the anti-PD-L1 antibodies, variants, mutants, or antigen binding fragments thereof, and related expression vectors, and host cells. Provided are methods of making anti-PD-L1 antibodies, variants, mutants, and antigen binding fragments thereof. Also provided are related pharmaceutical compositions and methods of their use to treat subjects.