While achromatic focusing with dispersion engineered meta-surfaces has been shown, the time-bandwidth product presents a fundamental trade-off between the diameter, numerical aperture and bandwidth that can be corrected in a single surface for given materials and thickness. We demonstrate design of hybrid systems combining multiple meta-surfaces with refractive lenses. Our method allows to design dispersion engineered systems where each meta-surface adheres to the time-bandwidth limit. As an example achromatic fiber couplers for telecom and imaging the near infra-red spectrum are simulated with the commercial software packages: PlanOpSim and ZEMAX. The wavefront aberration is below λ/12 for all specified wavefronts.