German term (edited): ber�chtigt

"berüchtigt" is impossible in this context;
a suggestion: unique and well-reputed

German term (edited): ber�chtigt

"Berüchtigt" kann ja z. B. durchaus auch "allbekannt" heißen.

HTH

German term (edited): ber�chtigt

This is equally ambiguous, though in this context will be taken as positive

German term (edited): ber�chtigt

It's a tongue-in-cheek thing, martineh. What they want to say is that on their incentive tours a lot of people have a lot of (maybe not so innocent)fun. It can also mean that they are simply exceptionally lavish. So "berüchtigt" does have positive connotations here, and somehow you will have to work the elements of fun and lavishness into your translation.

Mind you, this is my interpretation without further context. However, if somebody around here says of somebody else "Seine Partys sind berüchtigt", than this is exactly what he means.

German term (edited): ber�chtigt

unique and widely known. my take

German term (edited): ber�chtigt

Caution is required - see Volkmar's comments - but I have come across "notorious parties" in a tongue-in-cheek and/or positive context. The problem is that one also comes across it in entirely negeative contexts. Should be all right if the rest of the text has a light enough tone, which I guess is probably the case here.