Sheet materials suitable for use as a floor, wall or ceiling covering material are described which comprise (1) a polymer mixture having (A) at least one homogeneously branched ethylene Polymer (A) having a molecular weight distribution, Mw/Mn, less than 3 and a short chain branching distribution index (SCBDI) equal to or greater than 50 percent obtainable by polymerization of ethylene with at least one C3-C20 α-olefin in the presence of a single site or constrained geometry catalyst; (B) at least one ethylene Polymer (B) having a density at least 0.005 g/cm3 greater than the density of ethylene Polymer (A) and a TREF elution temperature at least 5 °C greater than the TREF elution temperature of ethylene Polymer (A) and, optionally, (C) at least one ethylene Polymer (C) having a density at least 0.005 g/cm greater than the density of ethylene Polymer (B) and a TREF elution temperature at least 5 °C greater than the TREF elution temperature of ethylene Polymer (B), and (2) optionally a filler at least partially dispersed with a compatibilizer in the polymer mixture, and when less than 10 wt.% filler is dispersed in the polymer mixture, then the melt index of Polymer (A) is preferably less than or equal to 1.5g/10 min., the melt index ratio of Polymer (B) to polymer (A) is preferably less than or equal to 5.0, and/or Polymer (B) is preferably a homogeneously branched ethylene polymer. Floor, wall and ceiling covering materials and processes for making them according to this invention are also described.