Do something along the lines of
\clearpage
\pagestyle{empty}
\tableofcontents
\listoffigures
\listoftables
\cleardoublepage
\pagestyle{fancy}
\pagenumbering{arabic}
For a full example (using a solution from how to remove page numbers from first page of chapters to ensure no page nujmbering on chapters or part pages) I would use:
\documentclass[a4paper,20pt]{book}
\usepackage{fancyhdr}
\usepackage{lipsum}
% Taken from https://tex.stackexchange.com/a/103610/106804
\usepackage{etoolbox}
\patchcmd{\chapter}{plain}{empty}{}{}
\patchcmd{\part}{plain}{empty}{}{}
\begin{document}
\begin{titlepage}
\lipsum[1]
\end{titlepage}
\pagestyle{empty}
\listoffigures
\cleardoublepage
\pagenumbering{arabic}
\pagestyle{fancy}
\chapter{Some figures}
\section{Some section}
\begin{figure}[htb]Something\caption{\lipsum[1]}\end{figure}
\begin{figure}[htb]Something\caption{\lipsum[1]}\end{figure}
\begin{figure}[htb]Something\caption{\lipsum[1]}\end{figure}
\begin{figure}[htb]Something\caption{\lipsum[1]}\end{figure}
\lipsum
\end{document}
This gives no headers or footers for the list of figures, but returns to normal style for the main body (except new chapter or part pages).
fancyhdrto make a fancy header. By default there is no header for pages which are the start of chapters. The list of figures is a new chapter. You can get rid of this in your front matter by doing a\pagestyle{empty}and then when you want to go back to the fancy stuff to\pagestyle{fancy}. – oliversm May 07 '20 at 11:42