Lighting system including: lighting module having semiconductor light-emitting device; first lens module; and second lens module. First lens module may include: converging lens; or diverging lens having light output surface including raised region shaped as sliced torus; or diverging lens having light output surface including contoured lens screen having lenticular or microprismatic features. Converging lens may have total internal reflection side surface with frusto-conical shape. Second lens module may include diverging lens having light output surface spaced apart from light input surface that may include lens screen having lenticular or microprismatic features. Lighting system may include additional lighting modules and may include further lens modules that may be detachable and interchangeable.