For anaerobic metabolosomes I don’t have anything specific in mind. I just remember them being an old idea. I’m guessing they would use some form of anaerobic respiration.
Anoxygenic photosynthesis exists in a number of different bacteria and uses something else like hydrogen sulfide or iron ions instead of water. It seems that some cyanobacteria can use thylakoids for anoxygenic photosynthesis [1, 2]. Although, thylakoids seem to be exclusive to cyanobacteria and chloroplasts, so other photosynthesizers presumably use some other structures.