Learn English – Word that covers Games, TV, Movies and Music

I don't think there is a widely understood one-word term for music listeners as opposed to artists. Most single-word options, if they exist, would probably sound strange to people.

Your best bet is probably two words that don't blend together spelling-wise too easily. I'd suggest musicfans.stackexchange.com.

Fun on its own works fine for me—I would also categorise music and videos under it, but I would not expect to find music or videos on a website where a menu item is labelled ‘fun’. I would expect to find more or less interactive, amusing things, like games, jokes, cartoon strips, etc.

To add to the interactive dimension and more or less exclude music and video, perhaps fun and games could be used. That is a more or less set phrase that does not merely refer to anything that is fun + anything that is games, but rather (dictionary definition) to “amusing and enjoyable activities”.

Of course, it’s hard to tell if this is ideal for you without seeing what the rest of your site looks like; but it works well in general, I’d say.