And for Italy there was Isotta Fraschini. Its English language Wikipedia entry was not very useful at the time this post was drafted, so I suggest the Italian entry here or perhaps the French version, and have your computer translate. Isottas from around 1930 were all equipped with custom-made bodies, and a leading supplier was carrozzeria Castagna conveniently based near Isotta Fraschini in Milan. Its Italian Wikipedia entry is here.
Below are images of Castagna-built Isottas from that time. The cars had in-line eight cylinder motors and their hoods were extremely long. With the exception of a 1933 Isotta Fraschini Tipo 8A Dual Cowl Sports Tourer (not shown, but link here), Castagna bodies for Isotta I found on the Internet were basically conventional, but attractively styled.
An interesting Isotta Fraschini feature was the various (usually) Art Deco type chromed designs laid atop the grilles. Some appeared on more than one car, others might have been unique. Perhaps a knowledgeable reader can provide some background information in a comment.