There are many online radio stations for Bollywood songs and also songs from other Indian languages. Hindi Radio is a freeware desktop tool for Windows which allows you to listen to radio stations online without having to manually search for them. The channels vary in genre and are easily selectable. The best part is that online or Internet Hindi or any other Radio Channels are more reliable and they do work most of the time.
Once installed, you will get the list of all channels available online, its genre and the language will be displayed. All you would need to do is select an appropriate channel and click the play button. The streaming is instant if you have a good internet connection.
Although the app lists Hindi TV channels also, it didn’t work for you, but the online radio worked perfectly and also with pretty good sound clarity.