So, to find out which disciplines could be at the apex of prestige, I apply the criterion "What do you want your child to become when they grow up?" for various, very different social groups. I would claim that the following list consists of very plausible answers (again: be aware that each of these jobs can easily be a low-prestige or even fiercely hated one by a different social group):
- doctor, dentist
- pharmacist (be nevertheless aware that in opposite to former times, this is not a license to print money anymore)
- judge, prosecutor, notary (but rather not "Rechtsanwalt" [barrister?]; there exist war too many "Rechtsanwälte" [barristers?], so that the competition among them can be fierce)
- business consultant, "Wirtschaftsprüfer" [auditor]
- patent attorney
- don't study (too theoretical): get a vocational training in skilled crafts and trades instead
- high-ranking "Beamter" [civil servant]
- professor (be aware that it depends a lot on the social group whether or which discipline is considered to be prestigious or frowned upon)
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Remark: concerning "engineer" (in the very classical sense of "special cases of physics" engineering discliplines; German law is very strict what an "Ingenieur" [engineer] is [1], [2]), I would claim that it is not considered to be an "apex of prestige" one, but depending on the social group a respected choice of study/job.
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[1] https://www.ingenieur.de/karriere/arbeitsrecht/ingenieurgese...
[2] https://de.wikipedia.org/w/index.php?title=Ingenieur&oldid=2...