Does Germany have states like the USA or are they territories?
Yes, they have 16 administrative states, but they call them Länder (singular - Land); Baden-Wuerttemberg, Bayern (Bavaria), Berlin, Brandenburg, Bremen, Hamburg, Hessen (Hesse), Mecklenburg-Vorpommern (Mecklenburg-Western Pomerania), Niedersachsen (Lower Saxony), Nordrhein-Westfalen (North Rhine-Westphalia), Rheinland-Pfalz (Rhineland-Palatinate), Saarland, Sachsen (Saxony), Sachsen-Anhalt (Saxony-Anhalt), Schleswig-Holstein, Thueringen (Thuringia); note - Bayern, Sachsen, and Thueringen refer to themselves as free states (Freistaaten, singular - Freistaat)Source: CIA world factshttps://www.cia.gov/library/publications/the-world-factbook/index.html
They call them states, at least my German friends do.
Yes, Germany has states similar to the USA. However, the level of independency is slightly different and even varies among the states. But generally Germany is a federal republic like the USA.