How to Create a Genre block
Design and Skin Customization
you'll want to use jrCore_list and the group_by parameter.
"{jrCore_list}"
http://www.jamroom.net/the-jamroom-network/documentation/development/89/jrcore-list#group-by
Group by the audio_genre so that only 1 of each genre comes out.
Then in your template make a foreach loop and point the link to where you want to point it.
At a guess:
{jrCore_list module="jrAudio" group_by="audio_genre" template="audio_menu.tpl"}
Then in audio_menu.tpl
{if isset($_items) && is_array($_items)}
{foreach $_items as $item}
{* the link goes here *}
<a href="{$jamroom_url}/wherever/{$item.audio_genre}"
{/foreach}
{/if}