Neutron stars observed as radio pulsars exhibit a wealth of complex phenomena at the single-pulse level, which probe the physical conditions of the relativistic plasma in their magnetospheres. Despite more than 55 years of active research, the intricacies of their radio emission remain poorly understood. In my presentation, I will focus on the most striking observational results from the SUSPECT (Science Using Single-Pulse Exploration with Combined Telescopes) project, which we have been running at the Nançay Radio Observatory Telescopes (mainly NenuFAR & LOFAR FR606) in France and the upgraded GMRT in India since early 2023. In particular, I will discuss how our new simultaneous multi-telescope, multi-frequency observations constrain various properties that characterise the pulsar radio emission mechanisms and help unveil the physical processes in pulsar magnetospheres. I will present some results from our sample of more than 20 radio pulsars, focusing on mode-switching and unusual single-pulse emission. Finally, I will describe our efforts to detect and monitor the recently discovered class of long-period radio transients with the NenuFAR telescope. This poster was presented at the 2025 Les Houches conference (Feeling the pull and the pulse of relativistic magnetospheres) in France.