New designs of artificial magnetic conductors (AMC), including hard and soft surfaces and dual-polarised high-impedance surfaces are realised by printed dipole/slot frequency-selective surfaces (FSS) implemented on a grounded dielectric slab. Multiband designs of hard and soft surfaces are proposed based on the use of FSS structures with different resonance lengths and orientation of dipoles/slots. In addition, dual-polarised high-impedance surfaces are realised by FSS structures with elements of different shapes (cross, loop), which create high impedance for both TE and TM polarisations. Commercial software EMPiCASSO is used for the fullwave analysis of presented FSS configurations. A printed slot FSS is proposed for design of a low-profile monopole antenna. The simulation and experimental results of return loss and radiation patterns are presented, demonstrating the effect of a high-impedance surface on scattering and radiation characteristics of a low-profile antenna.