Grunge is like hard rock and punk, although I'm not a fan. Oasis is more along the lines of "Britpop" or rock, but I wouldn't say grunge. Oasis would be your best pick for the second half of your question.
Art influences society by changing opinions, instilling values and translating experiences across space and time. Research has shown art affects the fundamental sense of self. Painting, sculpture, music, literature and the other arts are often considered to be the repository of a society's collective memory.