Sharaz Shahid

Code Widget is simple widget allows you to insert any arbitrary Text/HTML and run PHP Code or Short Code. This Widget parses PHP code into simple text and much more.
Only users with the unfiltered_html role will be allowed to insert unfiltered HTML. This includes PHP code, so users without admin or editor permissions will not be able to use this to execute code, even if they have widget editing permissions. 
This plugin is developed and maintained by <a href="https://twitter.com/sharazghouri1" rel="nofollow ugc">Sharaz Shahid</a>

Code Widget

Code widget help  to  add  Short Code, PHP Code, HTML, and Simple Text in widget.

Tanmoy

This Plugin Will enable short code in WordPress sidebar Widget. By default, wordpress doesn’t support Short Code in Sidebar Widget. This Plugin can remove that restriction. 
Just Use a text widget for sidebar and use [short code] and ENJOY.
If you like this, Please rate it.

Plugin Name: Disable Media

This Plugin Will enable short code in WordPress sidebar Widget. By default, wordpress doesn't support Short Code in Sidebar Widget.

Code Widget vs Plugin Name: Disable Media