There is still great music being made, and the really deep stuff has always gotten ignored by most people most of the time. Heck, I majored in music and I don't listen to Bach or Coltrane every day. That stuff is too rich for every occasion.
I'd say that innovation within genres - just people making good songs - is every bit as important as creating new genres. New genres aren't automatically created at a certain rate. They're an event, triggered by major social changes or new cultural influences most of the time. For America to invent a new genre we might need to conquer or be conquered by someone else, or have a new wave of immigration.
Some good artists currently making popular music with depth and interest off the top of my head:
St. Vincent, Dessa, Chris Thile, SquarePusher, BJ Cole, Run the Jewels, Billy Joel (I list him here because rather than just repeating his same hits forever, he went and recently released a classical-style piano album that's quite good, so he's still growing and changing as an artist), Tori Amos (she's been making music a long time but has a new style every decade or so).