I don't really like modern rock bands. Not really sure why. I guess one reason could be because they have stood the test of time and can still be generally accepted. Besides, their guitar solos ROCK! I like the 80's and mid-70's best. AC/DC has been around since '75 and they just released their latest album -- Black Ice -- this year. They still rock! Imagine, some 60+ year old guys still being hailed as awesome.
I don't deny that modern bands completely suck. Some of their songs can be quite good. It's just a matter of preference so please, don't take it personally. Anyway, here are my fav bands
I couldn't find Rainbow's official website since they disbanded so the best I could do was to find their info on Wikipedia.