  The discovery of correlated states and superconductivity in magic-angle
twisted bilayer graphene (MATBG) has established moir\'e quantum matter as a
new platform to explore interaction-driven and topological quantum phenomena.
Multitudes of phases have been realized in moir\'e systems, but surprisingly,
robust superconductivity has been one of the least common of all, initially
found in MATBG and only more recently also in magic-angle twisted trilayer
graphene (MATTG). While MATBG and MATTG share some similar characteristics,
they also exhibit substantial differences, such as in their response to
external electric and magnetic fields. This raises the question of whether they
are simply two separate unique systems, or whether they form part of a broader
family of superconducting materials. Here, we report the experimental
realization of magic-angle twisted 4-layer and 5-layer graphene (MAT4G and
MAT5G, respectively), which turn out to be superconductors, hence establishing
alternating-twist magic-angle multilayer graphene as a robust family of moir\'e
superconductors. The members of this family have flat bands in their electronic
structure as a common feature, suggesting their central role in the observed
robust superconductivity. On the other hand, there are also important
variations across the family, such as different symmetries for members with
even and odd number of layers. However, our measurements in parallel magnetic
fields, in particular the investigation of Pauli limit violation and
spontaneous rotational symmetry breaking, reveal that the most pronounced
distinction is between the N=2 and N>2-layer structures. Our results expand the
emergent family of moir\'e superconductors, providing new insight with
potential implications for the design of novel superconducting materials
platforms.
