This can be easily done with the help of the titletoc package and its features for partial lists; \startlist, \printlist, \stoplist; the idea is to have to partial lists; the first one stops just before the appendices and at this point, the second list begins; a little example:
\documentclass{book}
\usepackage{graphicx}
\usepackage{titletoc}
\newcommand\myfigure{% just to quickly generate captioned images in the document
\begin{figure}
\centering
\includegraphics[height=2cm]{example-image-a}
\caption{test figure~\thefigure}
\end{figure}%
}
\begin{document}
\startlist[main]{lof}% starts main list of figures
\printlist[main]{lof}{}{\chapter*{List of Figures in Main Part}}% prints main list of figures
\mainmatter
\chapter{Test chapter one}
\myfigure
\myfigure
\myfigure
\myfigure
\chapter{Test chapter one}
\myfigure
\myfigure
\myfigure
\myfigure
\myfigure
\myfigure
\appendix
\clearpage
\stoplist[main]{lof}% stops main list of figures
\startlist[appendix]{lof}% starts list of figures in appendices
\printlist[appendix]{lof}{}{\chapter*{List of Figures in
Appendices}}% prints list of figures in appendices
\chapter{Test appendix one}
\myfigure
\myfigure
\myfigure
\chapter{Test appendix two}
\myfigure
\myfigure
\myfigure
\end{document}
An image of the main list:

An image of the list for images in appendices:

Without additional packages this can also be done with a little more work; the idea now is to change \ext@figure (controlling the extension of the auxiliary file in which the information for figure captions is written to) just at the beginning of the appendixes and to have a new list of figures through a new command defined in a similar way to the standard \listoffigures; a patch of \@chapter is necessary in order to have the default spacing (10pt) in the new list when a new chapter begins:
\documentclass{book}
\usepackage{xpatch}
\usepackage{graphicx}
\makeatletter
\newcommand\listofappfigures{%
\renewcommand\ext@figure{lfa}%
\renewcommand\listfigurename{List of Figures in Appendices}%
\if@twocolumn
\@restonecoltrue\onecolumn
\else
\@restonecolfalse
\fi
\chapter*{\listfigurename}%
\@mkboth{\MakeUppercase\listfigurename}%
{\MakeUppercase\listfigurename}%
\@starttoc{lfa}%
\if@restonecol\twocolumn\fi
}
\xpatchcmd{\@chapter}{\addtocontents{lot}{\protect\addvspace{10\p@}}}{\addtocontents{lot}{\protect\addvspace{10\p@}}\addtocontents{lfa}{\protect\addvspace{10\p@}}}{}{}
\makeatother
\newcommand\myfigure{%
\begin{figure}
\centering
\includegraphics[height=2cm]{example-image-a}
\caption{test figure~\thefigure}
\end{figure}%
}
\begin{document}
\listoffigures
\mainmatter
\chapter{Test chapter one}
\myfigure
\myfigure
\myfigure
\myfigure
\chapter{Test chapter one}
\myfigure
\myfigure
\myfigure
\myfigure
\myfigure
\myfigure
\appendix
\listofappfigures
\chapter{Test appendix one}
\myfigure
\myfigure
\myfigure
\chapter{Test appendix two}
\myfigure
\myfigure
\myfigure
\end{document}
figurein the appendix. For declaring a new floating environment one could use thefloat, thefloatrow, or the/mynewfloatpackage. Thememoirand KOMA-Script document classes offers their own support for declaring new floating environments, so there is no extra package needed here. – Aug 26 '13 at 11:19figureenvironment. – Gonzalo Medina Aug 26 '13 at 15:46