Phage therapy is super interesting, but there are a lot of technical problems. If I ever leave software engineering, it'll be to go back to mucking around with phage.
Immune clearance: The immune system really enjoys soaking up phage. Blood titers drop stupidly fast. Maybe we could flood the colon with a phage-bearing solution to handle GI infections, but in general I'm really skeptical. There was a paper ~8 years ago describing serial passages in rabbits to enrich for immunocompatible phage. Don't know if further work has been done here.
Specificity: Phage really, really like their hosts. I had a strain of Phi X174 in lab that would simply never infect wild type E coli. To deploy phage effectively, you need to culture whatever it is that you're after. Next you'd want to infect the pathogen in culture and pass your phage for O(many) generations. A lot of human pathogens are just miserable to grow.
Efficacy: Antibiotics are just better at killing bacteria (resistance aside.)
Regulatory: You'd need to convince the FDA to approve a viral cocktail that is potentially going to kill the patient through anaphylaxis.