this site is pretty good.. $7 for a month and you can download a lot of music (enough to last you years, decades even), and its all graded for you.. you can sort the pieces by grade to find something appropriate for you, and the editions are well set out and high quality..
alternatively go look at IMSLP.org
but ofcourse thats all effectively classical.. still.. saying you don't like classical music says to me you just havent listened to much of it and found stuff you like.
If you want something more recent I really think you should pay for it. High quality graded composing takes time and much knowledge.. if our composers don't make any money then they'll have to go work regular jobs and then we'll have no composers because they won't have time to write music.