public (attention, recognition, etc.); social (standing, acceptance, etc.); worldly (fame, desires, etc.)
世間的には、彼は成功者だ。
Socially speaking, he is considered a success.
彼の研究は学問的価値が高いが、世間的な知名度は低い。
His research has high scholarly value but little public recognition.
世間的な成功よりも、自分の納得を選ぶ生き方もある。
Some live by choosing personal fulfillment over worldly success.