The all metal aircraft goes back almost to the dawn of Aviation. Most of the aluminium technology came out of German experience at building Zeppelins and I suspect the deterioration of wood quality in Germany and Austria during WW1.
Below left an all metal Junkers F.13 first flight 1920, it was a successful airliner. Junkers had an armored all metal ground attack aircraft in service during WW1. To the top is I think a junkers W31
Below an all metal Junkers G24 first flight 1924. The seaplane was used to rescue sailors from the crashed airship Italia.
Below the Junkers W33, this one is the "Bremen" which was the first aircraft to cross the Atlantic. (Lindbergh latter flew the other way), Dornier GS1 all metal fuselage but fabric wings first flight 1919
Dornier Delphin first flight 1920 all metal fuselage and wings, Dornier Super Wal 1930 carried 19 PAX
Rohrbach Ro 2 first flight 1919 all metal smooth skin, Messerschmitt M18 of 1926 (the successor the M20 crashed, killing Erhardt Milch best friend leading to life long enmity) also all metal. Willy Messershmitt designed an airfoil of excellent pitching characteristics for this aircraft.
The Germans seem to have worked out all metal smooth stressed skin production by 1926 at Dornier, Rohrbach, Messerschmitt and latter Junkers who used both smooth and stressed skin. Initially the skinning tended to be more non structural plate. Many of these commercial aircraft had to be built in Sweden, Holland or Italy to overcome the restrictions of the treaty of Versailles. Such needless restrictions which nobbled German industry and employment ironically helped Hitlers rise to power.
These metal aircraft showed themselves superior in bad weather and could continue flying when other aircraft of mixed construction or biplane types had to stop flying. The DC3 was to a degree a response to a Ford Trimotor crash (correction TWA 599 was a Fokker F.10 Trimotor) in which the wood glue had delaminated due to water ingress. This was an persistent issue and plagued even the Mosquito (in the tropics)
Stressed skin construction was perfected in the USA in the Boeing Model 247 and Douglass DC1/DC2/DC3. In Germany Erhard Milch ramped up the Luftwaffe quickly by ordering massive production of an out of date technology type known as the Ju 52 airliner improvised as a bomber (even junkers knew how to build stressed skin by then), the Ju 52 as it could easily be produced rather than the smooth skin designs then coming into service. Right decision or wrong?
Arguably if the Ju 52 had of been replaced with something equal to the DC3 in equal numbers in Luftwaffe transport service it might have changed the course of the war. The inferior speed, range-versus-payload of the Ju 52 versus DC3 meant that the airlift into the 6th Army at Stalingrad failed while at the same time Rommel had to be supplied in North Africa. The Destruction of the Transport squadrons supplying North Africa was the result of the Allies knowing the exact flight plans, routes and schedules due to enigma decrypts but the efficiency and speed of the DC3 still would have reduced attrition enormously. If Rommel remains active in Africa then the Invasion of Sicily/Italy is delayed. The larger number of pilots required also stressed the supply of pilots who were drawn from training squadrons. Heavy transport losses were also experience over Holland, Crete (due to enigma decrypt), the Damnask pocket as well as Stalingrad and Nth Africa.
The DC3 was the right plane at the right time.