  We study unconventional superfluids of fermionic polar molecules in a
two-dimensional bilayer system with dipoles are head-to-tail across the layers.
We analyze the critical temperature of several unconventional pairings as a
function of different system parameters. The peculiar competition between the
$d$- and the $s$- wave pairings is discussed. We show that the experimental
observation of such unconventional superfluids requires ulralow temperatures,
which opens up new possibilities to realize several topological phases.
