As the other comments are asking, I'm not sure where you get that the majority of Jews are named with German names. At least in the modern US, most Jews feel the sorts of names they'd give their kids are Hebrew in origin, with a greater percentage favoring unusual Hebrew names like Matan or Lev than would use non-Hebrew American names like Madison (source: Cohen, Steven M. Benor, Sarah Bunin. Survey of American Jewish Language and Identity. Hebrew Union College-Jewish Institute of Religion (HUC-JIR).).

If you're referring to last names, I suspect this impression is mostly sampling bias. If you're American, the overwhelming majority of Jews you'll meet are Ashkenazi (European). Many Ashkenazim were from Germany, but the majority were from Eastern Europe. But they spoke Yiddish, which is closely related to German, so many common Yiddish surnames are more-or-less identical with their German equivalents, or the difference is lost in the names being Anglicized.

In Israel many more Jewish names are Hebrew in origin, or are Russian or Middle Eastern. Just to use current Israeli parlimentarians as a semi-random sample of Israeli names, there are names like Cohen (Hebrew), Solomon (which is a foreign version of a Hebrew name), Calderon (Spanish), Herzog (German), Mizrahi (Hebrew), Finkelstein (Yiddish), Mofaz (Persian), and Hasson (Arabic).

Do you have any examples of Jews without any German history having German names?

Is this even true? Sure, lots of Jews with Germanic names emigrated to the U.S., so a large percentage of American Jews have Germanic names, but that's only a fraction of the total. There are a lot with Slavic or Russian names, too. Plus lots outside the U.S. with non-Germanic names. Though there are a disproportionate number with Germanic names because it was while being ruled over by Germanic leaders that they were legally required to choose a last name.