Wait a sec.... fuses AND three prong receps?

Unless the place was done in pipe- where? the ground? I'd look at that issue a bit closer.

Another issue is the GEC. Fuse panels typically had only a "water bond." Worth looking into.

Now, YES, there are listed breakers available. Made by Mechanical Products, and sold through Buss, they are available in 15 and 20 amp sizes. They have full size bases- no "type S" adapter needed.

Some will read the code as not allowing for the use of these breakers- the NEC only mentions replacing fuses with fuses. In this case, that is WRONG.
I madea proposal on this very issue, and it was rejected by the panel, with the explanation that the NEC DOES allow replacing Edison base fuses with these breakers.

While the breakers are not - last I looked- in the Buss catalog, they do exist. You might even find them at Home Depot, or a hardware store. Buss calls them out with part #'s CB-15 and CB-20, respectively.