The first run of the LHC (2009)(2010)(2011)(2012) has resulted in a tremendous legacy of soft physics results measured by ALICE, ATLAS, CMS, LHCb, LHCf and TOTEM. These measurements are crucial for successful phenomenological understanding and modelling of the underlying processes with the ultimate goal to learn about soft QCD. A selection of important topics is reviewed including particle multiplicities, underlying-event distributions, multiple-parton interactions, identifiedparticle abundances and signatures of collectivity in small systems. Where available, first results from the second run of LHC at a center-of-mass energy of 13 TeV are included.