We study the dynamics of fundamental breathers in vector fields with self-steepening. Exact multi-parametric vector solutions of Akhmediev breathers, Kuznetsov-Ma solitons, and beating solitons are obtained. Their existence conditions are analyzed by using the square spectrum parameters. The analytic physical spectra of breathers are presented by using a residue theorem associated with second-order singularity. In contrast to the Manakov limit without the self-steepening term, these spectra exhibit asymmetry in both the vector wave component and the total wave field. We characterize explicitly such asymmetry. The correctness of our exact solutions is confirmed by numerical simulations.