LHC searches for exotic new particles

A coherent description of the ATLAS and CMS program of searches for physics beyond the Standard Model of particle physics (except supersymmetry) is subject of this review. The theoretical motivation for new phenomena and the associated phenomenology are discussed. The search approach and philosophy by the experiments are presented in detail with illustrative examples both from Run-1 and early Run-2 of the LHC. The searches are largely driven by a diverse set of experimental signatures predicted by the various hypotheses of new physics.