  We generalize the Lozi-like family introduced in Misiurewicz and \v{S}timac
work from 2017. The generalized Lozi-like family encompasses in particular
certain Lozi-like maps, orientation preserving or reversing Lozi maps or large
parameter regions of 2-dimensional border collision normal forms. We prove that
it possesses a strange attractor, arising as a homoclinic class.
