  We construct families of supersymmetric AdS$_3\times Y_7$ and AdS$_3\times
Y_8$ solutions to type IIB string theory and M-theory, respectively. Here $Y_7$
is an $S^5$ fibration over $\Sigma$, while $Y_8$ is an $S^4$ fibration over
$\Sigma_g\times \Sigma$, where $\Sigma_g$ is a Riemann surface of genus $g>1$
and $\Sigma$ is a two-dimensional orbifold known as a spindle. We interpret the
solutions as near-horizon limits of $N$ D3-branes wrapped on $\Sigma$ and $N$
M5-branes wrapped on $\Sigma_g\times \Sigma$, respectively. These are
holographically dual to $d=2$, $(0,2)$ SCFTs, and we show that the central
charge and superconformal R-symmetry of the gravity solutions agree with dual
field theory calculations.
