Paul Gregory

Adds three widgets – “Text/List”, “Text/List (If Logged In)” and “Text/List (Not Logged In)”. These can be used much like the normal Text widget, except two of them only display if the condition is met.
Potential Uses: 
* Add a link to a Register page, along with some text promoting registration (for example on a site with the bbPress plugin) 
* Display adverts to users who are not logged in 
* Display useful links to users who are logged in. 
* Display a nice list to everyone.
Because the widgets are separate, you can have the logged-in widget in a different place to a logged-out widget. You don’t even have to have pairs of widgets.
Unlike the normal Text widget which just has a toggle for paragraph on/off, this widget has four display options:
<ul>
<li>No formatting</li>
<li>Add paragraphs</li>
<li>Bullet list (ul)</li>
<li>Numbered list (ol)</li>
</ul>
The list options are useful if you are adding a number of links – simply add each one on a new line and they’ll be turned into a bullet. Please note that this plugin adds no CSS. Often themes style the lists within a widget to make menus look nice, so your theme may (for example) prevent numbers from showing. See FAQ.
You may find that the Text/List widget is useful even without the logged-in / logged-out conditional.

Logged In Conditional Text Widget

Adds text/list widgets - one only shows if user is logged in, and the other only shows if a user is not logged in. A third shows regardless.

Logged In Conditional Text Widget vs If-So Dynamic Content Personalization