For me, one would be Depeche Mode. I recall getting my ear peirced in my mates bedroom, around 1989. He had Depeche Mode concert VHS playing as the deed was done. I have to say, at the time, i found the music to be creepy and a bit unsettling.
But here i am 30 years later, and i really enjoy/appreciate the band, more than ever. In my opinion, we need to enjoy these acts, while they are still around.
For the record, i did always enjoy the odd song from the band, here and there, but never really dived into their albums until much later in life. Im so glad i did. Brilliant band!