Rebbi do you use Spotify or MOG? It's free but with commercials every 5 songs or so. My wife and I pay ten bucks for premium service. No commercials and we have access on our iPhones and iPad and can just hook right into my main system, or listen on the go or in the car.I highly recommend this approach for you as you have access to 30 million songs and really complete catalogs from most major artists. You can sample tens of thousands of musicians before you buy CDs or decide to listen to Spotify or MOG without buying the CDs . Spotify and MOG do offer suggested material when listening to an artist.
Here are other great ways I find new music.
Pitchfork , online music mag. Search for the best reviewed albums, although they have panned albums I find near perfect.
Best of music threads here. I discovered Ben Howard this way.
On AudioCircle I look at what are you listening to now threads. Also in the Salk Circle there is a fantastic thread on reference recordings with great music of course.
NPR , First Listen and Tiny Desk Concerts and listen to public Radio.
My wife explores a lot of new music and sends me the bands she thinks I will like. Lucky my wife is a musicphile.
As others gave mentioned , branch out from classic rock to Alternative Pop, Alt. country has been a revalation for me and I dislike Country music. I discovered Jazz a few years ago as well. Blues and Bluegrass can be great as well. I listen to a lot of male singer song writers such as Ray Lamontagne and David Grey, Martin Sexton etc.
Sample, listen, explore, branch out, and most importantly discover new music that makes you happy.