Can you run Business Merge/Purge Plus, EZ-CASE Plus, Generalized Selection Plus, I/O Jet Plus, Label Printing Plus, List Conversion Plus, and Merge/Purge Plus on Windows Server 2003, Windows Server 2008, and Windows Server 2012

Operating System: Windows Server 2003, Windows Server 2008, and Windows Server 2012
Products affected:
Product                    versions supported
-------------------------  ------------------
Business Merge/Purge Plus  6.1, 6.2
EZ-Case Plus               6.5, 6.6
Generalized Selection Plus 6.3, 6.4
I/O-Jet Plus               6.1, 6.3
Label Printing Plus        6.3, 6.4
List Conversion Plus       6.4, 6.5
Merge/Purge Plus           6.5, 6.6
The current versions of the products mentioned below were last released in the 2006–2008 time-frame.
The current version of these products were all tested/certified on Windows Server 2003 and Server 2008.  
(Although not with any Operating System (O/S) updates such as the SP2 or R2.)
Business Merge/Purge Plus (BMP)
Generalized Selection Plus (GSP)
Label Printing Plus (LBP)
Merge/Purge Plus (MPP)

The current version of these products were not tested on Server 2003 or Server 2008.
I/O Jet Plus (JTP)
List Conversion Plus (LCP)

None of the products listed have been tested on Windows Server 2012.
We are not aware of any specific reasons they should not work on other Windows O/Ss, mainly because the O/Ss are normally backwards-compatible.  But since we have only tested/certified them on the O/Ss mentioned above, we cannot guarantee that they will install on other O/Ss, or if they do install we cannot guarantee they will run without error, or give correct results. 
Summary Chart
Application   Current version  Released   Windows Server O/S tested
BMP           6.2.0            2006       2003 and 2008
ZKP           6.6.0            2006       2003 and 2008
GSP           6.4.0            2008       2003 and 2008
LBP           6.4.0            2006       2003 and 2008
MPP          *6.6.0            2007       *2003 and 2008

JTP           6.3.0            2006       not 2003 or 2008

LCP           6.5.0            2007       not 2003 or 2008

*This is not for certain.  In Supported Platforms doc 005 from Feb 2007, it says MPP *6.0.0* was tested on Windows 2003 and 2008.  But 6.5.0 was the current/newest version at the time. 6.0.0 would have been from years earlier.
In the 006 doc from July 2007, it presumably lists MPP 6.6.0, but does not say it was tested on either Windows 2003 or 2008, and actually MPP 6.6.0 was not released until Oct 2007.  But it does say on the last page that-
"***Merge Purge Plus Client Server is available on Microsoft Windows 2003 & 2008 Server"
UPDATED:  May 14, 2019