  Key results from the literature pertaining to a class of nonsingular black
hole mimickers are explored. The family of candidate spacetimes is for now
labelled the `black-bounce' family, stemming from the original so-called
`Simpson--Visser' spacetime in static spherical symmetry. All model geometries
are analysed through the lens of standard general relativity, are globally free
from curvature singularities, pass all weak-field observational tests, and
smoothly interpolate between regular black holes and traversable wormholes. The
discourse is segregated along geometrical lines, with candidate spacetimes each
belonging to one of: static spherical symmetry, spherical symmetry with
dynamics, and stationary axisymmetry.
