R.E.M. were a great band who deserved acclaim, and they got it.
There are many others who are just as deserving, but who miss out for some reason or other - poor marketing, lack of support from media, or because they don't have a drop-dead gorgeous lead singer.
Then there are other bands who continue year after year to trade on their fame and become parodies of themselves, as someone said earlier in this thread. No point in naming them, I don't want the thread to get all negative. Let's just be glad that R.E.M. leave us with a fine back catalogue and their reputation intact.
Might have a listen to Automatic For the People.