Different kinds of nonlocal couplings in extended systems are at the center of an increasing research activity. This seminar is about a nonlocality characterized by the coupling of each point of the field with a shifted one. I will present two broad classes of diffusive and optical systems with a two-point nonlocality that can arise in presence of an off-axis feedback loop. Important consequences on the spatio-temporal dynamics and new regions of instability are predicted analytically and confirmed by numerical simulation of some selected models. In particular, two-point nonlocality opens large windows of control parameters in laser devices where weak light spots can be strongly amplified while the background radiation remains very low. Furthermore, transverse phase and group velocities of a signal can be independently tuned and this enables to steer it non mechanically, to control its spatial chirping and to split it into two counter-propagating ones.