With Google Home, you have easy access to a number of streaming services. Among them are: 

YouTube Music (Free and Premium)*

Spotify (Free and Premium)*

Apple Music*

Pandora - (Free and Premium) (US only)*

TuneIn*

Deezer (Premium and Family)*

*) Not all services may be available in your region. Contact the respective provider to find out if their services are available where you live.An overview is also provided by Goolge: https://assistant.google.com/explore/