We consider several cases where one needs to estimate the (first-order) intensity function for different spatial point patterns on some state spaces such as. R2 and linear networks. Furthermore, we consider spatial point patterns on irregular windows, replicated point patterns, time-ordered point patterns, and trajectories. The use of various kernel- and Voronoi-based intensity estimators in R is largely discussed through several applications, including wildfires, (street) crimes, active fires, mineral flotation, war data, and taxi movements.