Hi,
Thank you for posting on Microsoft Community!
Based on your post, I understand that the High Definition Audio Device in not enabled, but shows in Device Manager and it do not appear in Playback Devices, so you cannot enable it again.
In order to help you further, please answer the following questions:
1. What is the make and model of your Computer?
2. What are the other options that you tried to enable it?
Please follow the steps below and run the Troubleshooter as given below:
Top of Form
a. Open the Hardware and Devices troubleshooter by clicking the
Start button , and then clicking Control Panel.
b. In the search box, type troubleshooter, and then click Troubleshooting.
c. Under Hardware and Sound, click
Configure a device. If you're prompted for an administrator password or confirmation, type the password or provide confirmation.
You can to try uninstalling and reinstalling the Audio drivers from your computer manufacturer support site and check, if the issue persists.
Also, you can refer the links below for further help:
http://windows.microsoft.com/en-us/windows-8/why-isnt-windows-finding-device
http://windows.microsoft.com/en-US/windows-8/what-device-isnt-installed-properly
If you need any further help, please reply to us and we will be glad to help you further.