There's nothing like the SAT (single, high-stakes general aptitude test used nationwide); Abitur standards are set and evaluated by each state.
While there's a reputational difference between, say, Technisches Universität München and Ostbayerische Technische Hochschule Amberg-Weiden, fees are the same at both, and cost of living of course is higher for TUM just because Munich is really expensive.
At least in tech in Germany, there is nothing resembling the prestige merely attending MIT/Stanford/CMU carries in the US. Of course there's a network effect from studying at TUM or RWTH instead of OTH-AW, but not nearly as pronounced. There are no private, elite universities, no university-sponsored sports teams, no legacy admissions, no giant individual donors hoping to secure a university spot for a lazy/dull kid. Lazy/dull rich kids go to private high schools if they can't hack it in public university-prep school.