Looking for a Good Word Here

Hi, I am having a hard time finding a word that's to my liking. I want to be creative but not so creative that no one's ever heard the word used in such a way. The part of the sentence I'm working on is "… companies long famous for their hyper-competitive nature." I'd like to replace the word "famous" with another.

I don't want "famous" because it isn't entirely a positive thing for which they're so supposedly famous (not that fame is itself always positive). I don't want "known" as it strikes me as too plain. And I don't want "infamous," as neither is the action so completely horrible as to warrant an "infamous" in my opinion. And I don't want "reputed" because I tried to research it and am having a difficult time finding the exact sequencing "long reputed for …" strung together very many times in the English language—Idk why not? Needless to say I have consulted a few thesaurus before resorting to this solicitation for help. My problem isn't finding a word, any word, but one not unheard of after the word "long."

I'd like to keep the "long."

In closing, I hope all this makes sense. Sorry for the long-winded post. And thanks for reading and hopefully responding with some free and much-needed help

—Samir