Just share the HDD using windows file sharing. Then use an app on your media player to read that. If it's Android based, you'll find many apps that can read. You can try VLC which has very good network streaming capabilities.
You can try installing ES File explorer on your Android device, if both your windows and this device are on same network, You can view and play files shared on windows device.
You can also install plex media server on your desktop which helps in organising the media library and can be used from any platform be it TV, media player, phone, etc.