I listen to music 3-6 hours a day and am the type of person who doesn't enjoy hearing the same song the same day or really the day after. Sites I've used for discovering new music were reddit and rateyourmusic.com.
Beyond that I do use Spotify song radios, but typically the song has to be far outside my standard genres to show me new music.
I use a combination of Spotify discover weekly playlists, related artist lists, and lately I've been finding a random new category that Spotify curates and then searching for playlists of the same type that are curated by users. I think I get more deep cuts that way.