“FARMACIA” is based on an all-caps typeface best known by the name of Desdemona. (It shipped with older versions of Microsoft Office.) Desdemona is the open (outlined) version of a late-19th century typeface with solid (non-outlined) letters that went by the name of Quaint. When Quaint was digitised as Quaint Gothic SG in the early 2000s, lowercase letters were added to the typeface.
“dell’Annunziata” is ITC Benguiat, a 1970s typeface by – wait for it – Edward Benguiat that takes its inspiration from Art Nouveau.
“VALORE SALUTE” (on the door) is Eurostile – an Italian typeface, finally. We are in Italy after all. Eurostile is used in all-caps here, but it has lowercase letters. It is based an all-caps typeface, though: Microgramma, designed by Alessandro Butti and Aldo Novarese.