This is an announcement for the paper “On subprojectivity and superprojectivity of Banach spaces” by Elói M. Galego<http://arxiv.org/find/math/1/au:+Galego_E/0/1/0/all/0/1>, Manuel González<http://arxiv.org/find/math/1/au:+Gonzalez_M/0/1/0/all/0/1>, Javier Pello<http://arxiv.org/find/math/1/au:+Pello_J/0/1/0/all/0/1>. Abstract: We obtain some results for and further examples of subprojective and superprojective Banach spaces. We also give several conditions providing examples of non-reflexive superprojective spaces; one of these conditions is stable under $c_0$-sums and projective tensor products. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1606.00308