To what social needs did they appeal and what did they promise to deliver? Thanks reddit.
There were a lot of huge promises made by the National Socialists, including Hitler of course, but most were fairly simple and straightforward in subject. I'll detail those, but I don't have the time to write up for the Soviets too, sorry.
Some notable things you could look at include the NSDAP's (National Socialist German Worker's Party, NSDAP in German abbreviation) 25 Point Program in 1920. Among the things it detailed, were calls for racial purity, welfare expansions, workers rights, and increased state intervention in the economy on the half of the common worker. This was a staple of the Nazi party platform, and it greatly appealed to the masses. To know more about what they promised specifically, Hitler's speeches are plentiful sources of examples:
Prior to his 1923 failed Beer Hall Putsch, Hitler made this speech (PDF Format), which called for setting aside the Treaty of Versailles (which he said was meant to kill Germans), and for German unification and more land and soil. The idea of feeding all Germans (and ensuring their well-being) was a prominent theme, as I'll continue to show, along with the imagery of anvil and hammer (and the need to be the hammer, "fashioning the fates" so to speak, instead of being used).
In 1927, Hitler made another speech. He begins the speech by once more discussing the need to feed the German people, acquire more space for them, and purity of race. He appealed to the common German, promising them prosperity through excluding the "inferior" races that diluted their ability to get jobs and money. Once more, he relates back to the theme of hammer and anvil (in other words, this time) by talking about how Germans need to self-assert and take the initiative. He makes the common appeal that to survive, you must be an imperialist, seeking more constantly.
We transport 6 years to the future, to look at Hitler in 1929. Once more he invokes the hammer and anvil imagery, talking about how the Germans need to be strong and hammer out their futures.
In 1932, when the National Socialists were preparing for the July elections, Hitler made a speech discussing once more how the Germans had been beaten down by the current leadership. He invoked heavy but simple imagery, claiming they had been "raped...beaten...with clubs..." and that this would stop if the NSDAP was voted in.
In 1933, Hitler makes a "Proclamation to the German nation promising to help the nation grow and prosper, as it has been downtrodden by his description. He hopes to "rescue" the nation, and resurrect Germany. He makes, once more, appeals to the jobless, poor, and common people who are floundering in a not-so-great economy following the hyperinflation of the early 1930s.
This theme continued throughout, with Hitler promising more land, more money, more jobs, and more general wealth to all those who were pure Germans. He promised to cut out the "inferior" to help him stay ahead and create a better German nation. This type of promise heavily appealed to Germans, who were convinced by his rhetoric that foreigners were exploiting them, and that the Treaty of Versailles had hurt their interests. Coupled with the Reichstag fire, which helped the Nazis get rid of the Communists and paint them as scapegoats as well, Hitler managed to maneuver himself using public support into an appointment as Chancellor, and solidified his control from there. His promises almost never changed, and they maintained a very prominent place in the German populace, though after the war started is not my speciality in terms of German opinion. Still, hopefully that gives you an idea of what he was promising (and his party was promising) until his appointment as Chancellor, and following it as well. He used some of these themes (uniting Germans, securing land) in the pursuit of remilitarizing the Rhineland and annexation of Sudetenland.