Fibre Reinforced Polymer (FRP) can be used as a strengthening material in several types of structures built with different materials, such as concrete, timber, steel, aluminium or clay masonry. Contrary to fasteners, the bond technique currently used to connect the FRP composites to the substrate avoids stress concentrations. The knowledge on the performance of those bonded joints has been increasing but there are several issues not well understood yet. For instance, it is not clear which interfacial local bond-slip relationship should represent best each type of interface. Such knowledge could be important for distinguishing different bond behaviours that, along with the contribution on to the field of the numerical and/or analytical modelling, will certainly help to identify the main causes for such differences between them all. Furthermore, the case of bonded joints between FRP and masonry clay bricks is now starting their first steps and in this particular case, the actual knowledge needs to be improved in order to increase the heritage building life cycle. Likely to other bonded joints such as FRP/concrete, FRP/masonry joints have been tested under single/double-lap shear conditions as well. These two bonded joints share, at least, one common particularity: both develop cracks when submitted to tensile stresses. Therefore, it is expected that similar interfacial bond-slip relationships may be used in both circumstances. In bonded joints between FRP composites and steel or timber substrates, the cracking phenomenon doesn't arise. However, on FRP/timber interfaces, depending on the type of the timber used or depending on the orientation of the grains throughout the bonded area, the interfacial bond-slip relationship may change. The work herein reported presents a full comparison of bonded joints between FRP composites and other structural materials in which will be used different analytical approaches to model their debonding behaviours. All modelling is based on cohesive bond-slip relationships experimentally obtained from tests carried out by the authors or collected from the literature which have the purpose of locally induce a cohesive rupture within the adhesive.