I think an overlooked aspect of the German-English comparison is the system of tenses. In German, you can get by with basically just two tenses: the present and the perfect. The past tense can almost always be replaced by the perfect when speaking. When you want to express something that lies in the future, you can just use the present and it will in most cases be clear from context.

Compare that to English, where the mastery of the tenses (i.e. when to use which tense) is essential. Distinguishing the use of the simple forms from the progressive forms can be tough for non-native speakers. And then there are all the different past tenses: simple past, present perfect, past progressive... in many cases it sounds really strange when these get mixed up. Think of something like: I have gone to the store last night. Or: He never was in New York. (When the speaker means that he has never been.)