We focus on exotic structure and dynamics of N ≃ Z nuclei in the A ~ 80 mass region described within the complex Excited Vampir variational approach. We report on the effect of isospin-symmetry breaking on the superallowed Fermi β decay of the ground state of 82 Nb to 82 Zr . Results on the analog as well as non-analog β decay branches are self-consistently obtained. The 82 Nb →82 Zr β decay to the first two excited 0+ states with significant strength is predicted to coexist with the superallowed decay. The structure and electromagnetic properties of the low- and high-spin isobaric analog states in 82 Nb and 82 Zr are presented and compared with the available experimental data. The influence of shape coexistence and mixing on the Gamow–Teller strength distributions for the β+ decay of the ground state as well as the lowest-excited states in 72 Kr to the 1+ states in the beta window in 72 Br are self-consistently described using a rather large model space and realistic effective interactions. Predictions concerning the β decay half-life of the first excited 0+ state of 72 Kr relevant for the rp-process are presented.