Check out wfmu.org, its a great eclectic radio station (if you dont like what theyre playing, check back in an hour and it will probably be wildly different). Zero ads unless you count the bi-annual pledge drives. Theres a fan-made Android app called "woofmoo"
Also check out: https://github.com/iptv-org/iptv. I wouldnt call that completely ad free, but all ads are baked into the stream, so theyre not personalized or tracked. Basically like commercials on traditional over the air tv.
Wfmu is a real radio station based in new jersey, so it will be as "clean" as any radio station. Im sure ive heard references to smoking weed, and some songs may be sexual in nature. But all regular FCC rules regarding radio content is followed.
The ip-tv link is a collection of rtmp web streams. There are specific adult channels up there. There's also like pbs kids channels on there. You'll have to use your best judgement.
Another thing I forgot to mention, you may want to check out f-droid.org. it is an open source alternative to the google play store. You should be able to find alternatives to music streaming apps that will not have trackers and ads. Each app's page will detail any potential privacy concerns, such as interfacing with closed source web services, or ads.