One possibility using the background package:
\documentclass{article}
\usepackage[a6paper]{geometry}% just for the example
\usepackage{ifthen}
\usepackage[
scale=1,
opacity=1,
angle=0
]{background}
% command for modular arithmetic
\def\truncdiv#1#2{((#1-(#2-1)/2)/#2)}
\def\moduloop#1#2{(#1-\truncdiv{#1}{#2}*#2)}
\def\modulo#1#2{\number\numexpr\moduloop{#1}{#2}\relax}
% definitions of colors to be used
\definecolor{color1}{RGB}{11,64,176}% blue
\definecolor{color2}{RGB}{133,23,24}% red
\definecolor{color3}{RGB}{107,107,107}% red
% command for the footer
\newcommand\Footer{%
\begin{tikzpicture}[remember picture,overlay]
\fill[color1]
([yshift=20pt]current page.south west)
rectangle
(current page.south east);
\end{tikzpicture}%
}
% header for pages congrunent with 3 modulo 0
\newcommand\Headerz{%
\begin{tikzpicture}[remember picture,overlay]
\fill[color2]
(current page.north west) --
(current page.north east) --
(current page.east) --
([xshift=-50pt,yshift=-25pt]current page.north east) --
([yshift=-25pt]current page.north west) --
cycle;
\fill[color3]
(current page.east) --
([xshift=-50pt,yshift=20pt]current page.south east) --
([yshift=20pt]current page.south east) --
cycle;
\end{tikzpicture}%
}
% header for pages congrunent with 3 modulo 1
\newcommand\Headero{%
\begin{tikzpicture}[remember picture,overlay]
\fill[color2]
(current page.north west) --
(current page.north east) --
([yshift=-70pt]current page.north east)
to[out=160,in=20]
([yshift=-70pt]current page.north west) --
cycle;
\end{tikzpicture}%
}
% header for pages congrunent with 3 modulo 2
\newcommand\Headert{%
\begin{tikzpicture}[remember picture,overlay]
\fill[color2]
(current page.north west)
rectangle
([yshift=-25pt]current page.north east);
\end{tikzpicture}%
}
% include common footer
\backgroundsetup{contents=\Footer}
% add header depending on the value of the page modulo 3
\AddEverypageHook{%
\ifthenelse{\modulo{\value{page}}{3}=0}
{\backgroundsetup{contents={\Headerz}}}
{%
\ifthenelse{\modulo{\value{page}}{3}=1}
{\backgroundsetup{contents={\Headero}}}
{%
\ifthenelse{\modulo{\value{page}}{3}=2}
{\backgroundsetup{contents={\Headert}}}
{}
}%
}
\BgMaterial
}
\begin{document}
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text
\end{document}

The idea is to define as many different decorations you want for the headers and then to include them conditionally depending on modular arithmetic for the page counter; schematically
if the residue of the page number modulo 3 is zero
use \Headerz as background
else if the residue of the page number modulo 3 is one
use \Headero as background
else if the residue of the page number modulo 3 is two
use \Headert as background
fififi
Obviously this easily generalizes to an arbitrary number of different headers.
Here's a version using the decorations from the code in the question:
\documentclass{article}
\usepackage[
hmargin=1cm,
bmargin=2cm,
tmargin=2cm,
centering
]{geometry}
\usepackage{ifthen}
\usepackage{tikzpagenodes}
\usepackage[
scale=1,
opacity=1,
angle=0,
contents={}
]{background}
% command for modular arithmetic
\def\truncdiv#1#2{((#1-(#2-1)/2)/#2)}
\def\moduloop#1#2{(#1-\truncdiv{#1}{#2}*#2)}
\def\modulo#1#2{\number\numexpr\moduloop{#1}{#2}\relax}
% definitions of colors to be used
\definecolor{boxgray}{rgb}{.55,.54,.54}
\definecolor{bluey}{RGB}{0,121,194} %Alcon color
\definecolor{card}{RGB}{133,23,24}
% command for the footer
\newcommand\Footer{%
\begin{tikzpicture}[remember picture,overlay]
\fill[bluey]
(current page.south west) -- (current page.south east) --
([yshift=-25pt]current page.south east|-current page text area.south east) --
([yshift=-25pt]current page.south west|-current page text area.south west) -- cycle;
\node[yshift=0.5cm,font=\bfseries\color{white}] at (current page.south) {\fontsize{15}{24}\selectfont};;
\end{tikzpicture}%
}
% header for pages congrunent with 3 modulo 0
\newcommand\Headerz{%
\begin{tikzpicture}[remember picture,overlay]
\path [fill=boxgray]
([xshift=1cm]current page.north west) -- ([xshift=7cm]current page.north west) -- ([xshift=7cm]current page.south west) -- ([xshift=1cm]current page.south west) -- cycle;
\path [fill=card]
(current page.north west) -- (current page.north east) --
([yshift=-1.5cm]current page.north east|-current page text area.north east) .. controls (10,0.25) ..
([yshift=-2.5cm]current page.north west|-current page text area.north west) -- cycle;
\node[font=\bfseries\color{white},anchor=east,
xshift=-1.5cm,yshift=-1.3cm] at (current page.north east)
{\fontsize{40}{60}\selectfont Newsletter};
\end{tikzpicture}%
}
% header for pages congrunent with 3 modulo 1
\newcommand\Headero{%
\begin{tikzpicture}[remember picture,overlay]
\fill[card]
(current page.north west) -- (current page.north east) --
([yshift=10pt]current page.north east|-current page text area.north east) --
([yshift=10pt]current page.north west|-current page text area.north west) -- cycle;
\node[font=\bfseries\color{white},anchor=east,
xshift=-.5cm,yshift=-1cm] at (current page.north east)
{\fontsize{20}{60}\selectfont Text};
\end{tikzpicture}%
}
% header for pages congrunent with 3 modulo 2
\newcommand\Headert{%
\begin{tikzpicture}[remember picture,overlay]
\fill[card]
(current page.north west) -- (current page.north east) --
([yshift=-300pt]current page.north east|-current page text area.north east) -- %right
([yshift=0pt,xshift=100pt]current page.north|-current page text area.north) -- %mid
([yshift=0pt]current page.north west|-current page text area.north west) -- cycle; %left
\node[rotate=-57,font=\sffamily\bfseries\color{boxgray},anchor=east,
xshift=8cm,yshift=-6cm] at (current page.north east)
{\fontsize{40}{60}\selectfont Newsletter Test};
\fill[boxgray]
(current page.south west) -- (current page.south east) --
([yshift=-300pt]current page.north east|-current page text area.north east) -- %right
([yshift=-30pt,xshift=100pt]current page.south|-current page text area.south) --
([yshift=0pt]current page.south west|-current page text area.south west) -- cycle;
\end{tikzpicture}%
}
% add header depending on the value of the page modulo 3
\AddEverypageHook{%
\ifthenelse{\modulo{\value{page}}{3}=0}
{\backgroundsetup{contents={\Headerz}}}
{%
\ifthenelse{\modulo{\value{page}}{3}=1}
{\backgroundsetup{contents={\Headero}}}
{%
\ifthenelse{\modulo{\value{page}}{3}=2}
{\backgroundsetup{contents={\Headert}}}
{}
}%
}
\BgMaterial
}
% add footer
\AddEverypageHook{%
\backgroundsetup{contents={\Footer}}
\BgMaterial
}
\pagestyle{empty}
\begin{document}
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text\clearpage
text
\end{document}

To do the conditional tests I borrowed the \modulo macro defined by egreg in his answer to
How do I calculate n modulo 3 in LaTeX?.
If the backgrounds are not supposed to cycle through the pages, but every page must have its own decoration, you need to define as many decorations as pages in the document and then the code simplifies since a simple conditional test depending on the value of the page counter decides the background: A simple example with four backgrounds (I designed a quick decoration \HeadeFour for the fourth page):
\documentclass{article}
\usepackage[
hmargin=1cm,
bmargin=2cm,
tmargin=2cm,
centering
]{geometry}
\usepackage{tikzpagenodes}
\usepackage[
scale=1,
opacity=1,
angle=0,
contents={}
]{background}
% definitions of colors to be used
\definecolor{boxgray}{rgb}{.55,.54,.54}
\definecolor{bluey}{RGB}{0,121,194} %Alcon color
\definecolor{card}{RGB}{133,23,24}
% command for the footer
\newcommand\Footer{%
\begin{tikzpicture}[remember picture,overlay]
\fill[bluey]
(current page.south west) -- (current page.south east) --
([yshift=-25pt]current page.south east|-current page text area.south east) --
([yshift=-25pt]current page.south west|-current page text area.south west) -- cycle;
\node[yshift=0.5cm,font=\bfseries\color{white}] at (current page.south) {\fontsize{15}{24}\selectfont};;
\end{tikzpicture}%
}
% header for page one
\newcommand\HeaderOne{%
\begin{tikzpicture}[remember picture,overlay]
\path[fill=boxgray]
([xshift=1cm]current page.north west) -- ([xshift=7cm]current page.north west) -- ([xshift=7cm]current page.south west) -- ([xshift=1cm]current page.south west) -- cycle;
\path [fill=card]
(current page.north west) -- (current page.north east) --
([yshift=-1.5cm]current page.north east|-current page text area.north east) .. controls (10,0.25) ..
([yshift=-2.5cm]current page.north west|-current page text area.north west) -- cycle;
\node[font=\bfseries\color{white},anchor=east,
xshift=-1.5cm,yshift=-1.3cm] at (current page.north east)
{\fontsize{40}{60}\selectfont Newsletter};
\end{tikzpicture}%
}
% header for page two
\newcommand\HeaderTwo{%
\begin{tikzpicture}[remember picture,overlay]
\fill[card]
(current page.north west) -- (current page.north east) --
([yshift=10pt]current page.north east|-current page text area.north east) --
([yshift=10pt]current page.north west|-current page text area.north west) -- cycle;
\node[font=\bfseries\color{white},anchor=east,
xshift=-.5cm,yshift=-1cm] at (current page.north east)
{\fontsize{20}{60}\selectfont Text};
\end{tikzpicture}%
}
% header for page three
\newcommand\HeaderThree{%
\begin{tikzpicture}[remember picture,overlay]
\fill[card]
(current page.north west) -- (current page.north east) --
([yshift=-300pt]current page.north east|-current page text area.north east) -- %right
([yshift=0pt,xshift=100pt]current page.north|-current page text area.north) -- %mid
([yshift=0pt]current page.north west|-current page text area.north west) -- cycle; %left
\node[rotate=-57,font=\sffamily\bfseries\color{boxgray},anchor=east,
xshift=8cm,yshift=-6cm] at (current page.north east)
{\fontsize{40}{60}\selectfont Newsletter Test};
\fill[boxgray]
(current page.south west) -- (current page.south east) --
([yshift=-300pt]current page.north east|-current page text area.north east) -- %right
([yshift=-30pt,xshift=100pt]current page.south|-current page text area.south) --
([yshift=0pt]current page.south west|-current page text area.south west) -- cycle;
\end{tikzpicture}%
}
% header for page four
\newcommand\HeaderFour{%
\begin{tikzpicture}[remember picture,overlay]
\fill[boxgray]
([xshift=-1cm]current page.north east) -- ([xshift=-4cm]current page.north east) -- ([xshift=-4cm]current page.south east) -- ([xshift=-1cm]current page.south east) -- cycle;
\fill[card]
(current page.north west) --
(current page.north east) --
([yshift=-40pt]current page.north east|-current page text area.north east)
to[out=160,in=20]
([yshift=-40pt]current page.north west|-current page text area.north west) -- cycle;
\node[font=\bfseries\color{white},anchor=east,
xshift=-.5cm,yshift=-1cm] at (current page.north east)
{\fontsize{20}{60}\selectfont Text};
\end{tikzpicture}%
}
% add header depending on the value of the page modulo 3
\AddEverypageHook{%
\ifnum\value{page}=1\relax
\backgroundsetup{contents={\HeaderOne}}
\else
\ifnum\value{page}=2\relax
\backgroundsetup{contents={\HeaderTwo}}
\else
\ifnum\value{page}=3\relax
\backgroundsetup{contents={\HeaderThree}}
\else
\ifnum\value{page}=4\relax
\backgroundsetup{contents={\HeaderFour}}
\fi\fi\fi\fi
\BgMaterial
}
\AddEverypageHook{%
\backgroundsetup{contents=\Footer}
\BgMaterial
}
\pagestyle{empty}
\begin{document}
text\clearpage
text\clearpage
text\clearpage
text
\end{document}

The \clearpage commands in my example are just for brevity's sake (to quickly produce several pages); they are not really needed in a real document with real content.
\fiis the closing delimiter for all TeX conditionals; in my code I used four\ifnums, so one has to use four\fis. – Gonzalo Medina Apr 23 '14 at 00:21