\documentclass{article}
\usepackage{supertabular}
\usepackage{bidi}
\title{Testing \textsf{supertabular} package in RTL and LTR}
\author{Vafa Khalighi\thanks{Maintained by bidi-tex \url{https://github.com/bidi-tex}}}
\begin{document}
\maketitle
\section{LTR}
\tablecaption{The ISOGRK3 entity set}
\tablehead
   {\bfseries Entity&\bfseries  Unicode Name&\bfseries Unicode\\ \hline}
\tabletail
   {\hline \multicolumn{3}{r}{\emph{Continued on next page}}\\}
\tablelasttail{\hline}
\begin{supertabular}{lll}
alpha              & GREEK SMALL LETTER ALPHA            & 03B1\\
beta               & GREEK SMALL LETTER BETA             & 03B2\\
chi                & GREEK SMALL LETTER CHI              & 03C7\\
Delta              & GREEK CAPITAL LETTER DELTA          & 0394\\
delta              & GREEK SMALL LETTER DELTA            & 03B4\\
epsi               & GREEK SMALL LETTER EPSILON          & 03B5\\
epsis              & GREEK LUNATE EPSILON SYMBOL         & 03F5\\
\empty
epsiv              & GREEK SMALL LETTER EPSILON          & 03B5\\
eta                & GREEK SMALL LETTER ETA              & 03B7\\
Gamma              & GREEK CAPITAL LETTER GAMMA          & 0393\\
gamma              & GREEK SMALL LETTER GAMMA            & 03B3\\
gammad             & GREEK SMALL LETTER DIGAMMA          & 03DD\\
iota               & GREEK SMALL LETTER IOTA             & 03B9\\
kappa              & GREEK SMALL LETTER KAPPA            & 03BA\\
kappav             & GREEK KAPPA SYMBOL                  & 03F0\\
Lambda             & GREEK CAPITAL LETTER LAMDA          & 039B\\
lambda             & GREEK SMALL LETTER LAMDA            & 03BB\\
mu                 & GREEK SMALL LETTER MU               & 03BC\\
nu                 & GREEK SMALL LETTER NU               & 03BD\\
Omega              & GREEK CAPITAL LETTER OMEGA          & 03A9\\
omega              & GREEK SMALL LETTER OMEGA            & 03C9\\
Phi                & GREEK CAPITAL LETTER PHI            & 03A6\\
phis               & GREEK PHI SYMBOL                    & 03D5\\
phiv               & GREEK SMALL LETTER PHI              & 03C6\\
Pi                 & GREEK CAPITAL LETTER PI             & 03A0\\
pi                 & GREEK SMALL LETTER PI               & 03C0\\
piv                & GREEK PI SYMBOL                     & 03D6\\
Psi                & GREEK CAPITAL LETTER PSI            & 03A8\\
psi                & GREEK SMALL LETTER PSI              & 03C8\\
rho                & GREEK SMALL LETTER RHO              & 03C1\\
rhov               & GREEK RHO SYMBOL                    & 03F1\\
Sigma              & GREEK CAPITAL LETTER SIGMA          & 03A3\\
sigma              & GREEK SMALL LETTER SIGMA            & 03C3\\
sigmav             & GREEK SMALL LETTER FINAL SIGMA      & 03C2\\
tau                & GREEK SMALL LETTER TAU              & 03C4\\
Theta              & GREEK CAPITAL LETTER THETA          & 0398\\
thetas             & GREEK SMALL LETTER THETA            & 03B8\\
thetav             & GREEK THETA SYMBOL                  & 03D1\\
Upsi               & GREEK UPSILON WITH HOOK SYMBOL      & 03D2\\
upsi               & GREEK SMALL LETTER UPSILON          & 03C5\\
Xi                 & GREEK CAPITAL LETTER XI             & 039E\\
xi                 & GREEK SMALL LETTER XI               & 03BE\\
zeta               & GREEK SMALL LETTER ZETA             & 03B6\\
\end{supertabular}
\section{RTL}

\setRTL
\tablecaption{The ISOGRK3 entity set}
\tablehead
   {\bfseries Entity&\bfseries  Unicode Name&\bfseries Unicode\\ \hline}
\tabletail
   {\hline \multicolumn{3}{l}{\emph{Continued on next page}}\\}
\tablelasttail{\hline}
\begin{supertabular}{rrr}
alpha              & GREEK SMALL LETTER ALPHA            & 03B1\\
beta               & GREEK SMALL LETTER BETA             & 03B2\\
chi                & GREEK SMALL LETTER CHI              & 03C7\\
Delta              & GREEK CAPITAL LETTER DELTA          & 0394\\
delta              & GREEK SMALL LETTER DELTA            & 03B4\\
epsi               & GREEK SMALL LETTER EPSILON          & 03B5\\
epsis              & GREEK LUNATE EPSILON SYMBOL         & 03F5\\
\empty
epsiv              & GREEK SMALL LETTER EPSILON          & 03B5\\
eta                & GREEK SMALL LETTER ETA              & 03B7\\
Gamma              & GREEK CAPITAL LETTER GAMMA          & 0393\\
gamma              & GREEK SMALL LETTER GAMMA            & 03B3\\
gammad             & GREEK SMALL LETTER DIGAMMA          & 03DD\\
iota               & GREEK SMALL LETTER IOTA             & 03B9\\
kappa              & GREEK SMALL LETTER KAPPA            & 03BA\\
kappav             & GREEK KAPPA SYMBOL                  & 03F0\\
Lambda             & GREEK CAPITAL LETTER LAMDA          & 039B\\
lambda             & GREEK SMALL LETTER LAMDA            & 03BB\\
mu                 & GREEK SMALL LETTER MU               & 03BC\\
nu                 & GREEK SMALL LETTER NU               & 03BD\\
Omega              & GREEK CAPITAL LETTER OMEGA          & 03A9\\
omega              & GREEK SMALL LETTER OMEGA            & 03C9\\
Phi                & GREEK CAPITAL LETTER PHI            & 03A6\\
phis               & GREEK PHI SYMBOL                    & 03D5\\
phiv               & GREEK SMALL LETTER PHI              & 03C6\\
Pi                 & GREEK CAPITAL LETTER PI             & 03A0\\
pi                 & GREEK SMALL LETTER PI               & 03C0\\
piv                & GREEK PI SYMBOL                     & 03D6\\
Psi                & GREEK CAPITAL LETTER PSI            & 03A8\\
psi                & GREEK SMALL LETTER PSI              & 03C8\\
rho                & GREEK SMALL LETTER RHO              & 03C1\\
rhov               & GREEK RHO SYMBOL                    & 03F1\\
Sigma              & GREEK CAPITAL LETTER SIGMA          & 03A3\\
sigma              & GREEK SMALL LETTER SIGMA            & 03C3\\
sigmav             & GREEK SMALL LETTER FINAL SIGMA      & 03C2\\
tau                & GREEK SMALL LETTER TAU              & 03C4\\
Theta              & GREEK CAPITAL LETTER THETA          & 0398\\
thetas             & GREEK SMALL LETTER THETA            & 03B8\\
thetav             & GREEK THETA SYMBOL                  & 03D1\\
Upsi               & GREEK UPSILON WITH HOOK SYMBOL      & 03D2\\
upsi               & GREEK SMALL LETTER UPSILON          & 03C5\\
Xi                 & GREEK CAPITAL LETTER XI             & 039E\\
xi                 & GREEK SMALL LETTER XI               & 03BE\\
zeta               & GREEK SMALL LETTER ZETA             & 03B6\\
\end{supertabular}
\end{document}
