Hydrogen-rich supernovae (type II Supernovae; SNe II) are produced by the final explosions of massive stars (>8-10 Msun ), which retain a significant part of their hydrogen envelopes before the explosion. These SNe show a large diversity in their transient behaviour, which is likely determined by differences, not just in explosion properties, but also in the progenitor star characteristics. In this talk, I will present the current status of SNe II studies. I will focus on new results found with a sample of SNe II occurring within low-luminosity galaxies. I will also describe the challenges in the determination of the explosion and progenitor parameters for these objects.