The field of iron-based high critical temperature superconductors continues attracting the attention of the Condensed Matter Physics community. I will briefly review the main ideas in this field, including the exotic spin nematic regime  and the importance of electronic correlation effects. These materials seem more complex  than early theories anticipated. For this reason, in the main portion of the presentation I will focus on recent exciting results for the two-leg ladder compounds BaFe2S3 and BaFe2Se3.These are the only members of the iron-based family that were reported to become superconducting (at high pressure) without having iron layers in its crystal structure . Theoretical computational results for a two-orbital Hubbard model applied to ladders, as well as chains, will be discussed . They reproduce the dominant magnetic order of BaFe2S3 and BaFe2Se3, and display intriguing indications of pairing tendencies at intermediate/strong Hubbard couplings upon doping. Results for the dynamical spin structure factor of ladders ladders S(q,w) will also be briefly discussed, time allowing, and compared with neutron scattering data .