One way to get better-looking tables while still using vertical rules is to insert "struts" in selected rows to improve the spacing around horizontal lines. (This was suggested by Claudio Beccari in a piece published in 1993 in TeX and TUG News.) The idea is to insert "top struts" in rows that have an \hline above them, a "bottom strut" in rows that have an \hline below them, and both top and bottom struts in rows -- such as header rows -- that have \hlines both above and below them:

\documentclass{article}
% Define "struts" as suggested by Claudio Beccari in
% a piece in TeX and TUG News, Vol. 2, 1993.
\newcommand\Tstrut{\rule{0pt}{2.6ex}} % "top" strut
\newcommand\Bstrut{\rule[-0.9ex]{0pt}{0pt}} % "bottom" strut
\newcommand{\TBstrut}{\Tstrut\Bstrut} % top&bottom struts
\begin{document}
\begin{tabular}{|l|l|l|}
\hline
A & B & C \TBstrut\\ % top and bottom struts
\hline
A1 & B1 & C1 \Tstrut\\ % top strut only
A2 & B2 & C2 \Bstrut\\ % bottom strut only
\hline
\end{tabular}
\end{document}
That said, I believe one is more likely to produce good-looking tables if one (i) doesn't use vertical rules at all and (ii) uses the booktabs package and its commands \toprule, \midrule, and \bottomrule instead of \hline to create horizontal lines. Note that the \[xxx]rule lines don't all have the same widths and that there's good spacing around them.

\documentclass{article}
\usepackage{booktabs}
\begin{document}
\begin{tabular}{lll}
\toprule
A & B & C \\
\midrule
A1 & B1 & C1 \\
A2 & B2 & C2 \\
\bottomrule
\end{tabular}
\end{document}
pcolumns, but I will see. – AndreKR Aug 03 '13 at 22:29p-type columns. – Mico Aug 04 '13 at 00:23\midrulebreaks up vertical lines declared in\begin{tabular}{l|c|r}. Any way around this? – BallpointBen Jun 14 '22 at 01:05\topruleand\midrule] are in no way guaranteed to connect with verticals generated by|characters [in the preamble of thetabularenvironment]. This is a feature (see above). You should not use vertical rules in tables, end of story." The "see above" is a reference to an earlier passage, where the author laid down his main rule: "Never, ever use vertical rules". – Mico Jun 14 '22 at 04:49