How similar output do mathptmx and Times New Roman create?
This is what I get from the following input (compile with XeLaTeX); they are all the Times-like fonts I have on my machine. The fourth line in each item shows the internal name of the font, so to see that they are all different.
\documentclass{article}
\usepackage{fontspec}
\newcommand\alphabet{ABCDEFGHIJKLMNOPQRSTUVWXYZ\\
abcdefghijklmnopqrstuvwxyz 0123456789\\
\expandafter\texttt\expandafter{\fontname\font}}
\begin{document}
\begin{itemize}
\fontspec{Times}
\item Times\\\alphabet
\fontspec{Times New Roman}
\item Times New Roman\\\alphabet
\fontencoding{OT1}\fontfamily{ptm}\selectfont
\item Mathptmx\\\alphabet
\fontencoding{OT1}\fontfamily{ntxr}\selectfont
\item NewTX\\\alphabet
\end{itemize}
\end{document}
Are you able to spot any difference?