At the Amiga DOS level, a little bit. The Amiga OS is vastly simpler OS than UNIX and is a single user, multi tasking system while UNIX is a multi user, multi tasking system. File permisions and security, user accounts and logons aren't necessary in a system designed for a single user and weren't implimented in Amiga OS--part of it's charm. Amiga OS was written by programmers well versed in UNIX and it's command prompt structure, although much simpler, follows the UNIX model. It also shows some UNIX derivation in the way it is organized but once again, it is much simpler.
In a more genaral way, it is like UNIX in that, if you know the system, you know where everything is and should be and this makes it very easy to troubleshoot and maintain. I can't say this about any version of Windows since 3.1.
What is really special to Amiga OS is Intuition. It is unique amoung GUIs.
And among OSs, the only only one I've ever played with that ever reminded me of Amiga OS--in terms of sheer multitasking feel at least--was IBMs OS/2 which also used the Rexx programming language and had similar scripting capabilities to Amiga OS.