1) As we all know 2) Extremely well 3) In a renowned manner 4) In a renowned way 5) In a superlative manner 6) Magnificently 7) Splendidly Found on https://www.crosswordclues.com/clue/famously
Fa'mous·ly adverb In a famous manner; in a distinguished degree; greatly; splendidly. « Then this land was famously enriched With politic grave counsel.» Shak. Found on http://www.encyclo.co.uk/webster/F/6