We consider here explicit Runge-Kutta type methods for systems of retarded functional differential equations of two equations with special structure. The right-hand sides are cross-dependent of the retarded unknown functions, i.e. the derivatives of unknowns don't depend on the same retarded unknowns (but may depend on their undelayed values). An attempt is made to construct functional continuous methods with fewer stages than it is necessary in case of functional continuous Runge-Kutta methods for general systems. Order conditions for order 4 and sample methods are presented and test problems, demonstrating the declared convergence order of the new methods, are solved. It is shown, however, that the use of the mentioned structure gives quite small advantage comparing to system structures considered earlier.