In this elementary talk, we discuss some physical phenomena where hydrogen-bonds and hence proton dynamics play a key role. We mainly focus on the water-and-squaric acid system. In the first half of the talk, we discuss various aspects of proton dynamics in liquid water and the effect of external fields such as electric and magnetic fields on it. Moving on to the solid water state, i.e ice-water we review the recent classical and quantum theory of proton dynamics in governing various emergent physics and effective electrodynamics and gauge excitations similar to light. Finally, we try to connect the proton dynamics to the physics of a certain frustrated magnetic system called spin-ice system and its collective low-energy excitations. In the second half of the talk, we focus on squaric acid system and review the earlier experimental and theoretical efforts to model the physical phenomena such as phase transitions from para-electric to ferroelectric phase linking to confinement to deconfinement transition. We then move on to briefly present our work on squaric acid system using high-order perturbation theory and quantum simulations to extract various properties of these phase transitions and phases. We also discuss how such squaric acid system may harbor anyonic excitations in certain conditions. At the end, we outline some open issues about the water and squaric acid system that could be of future interest.