Abstract: This disclosure in certain embodiments relates to thermoplastic sheet compositions and applications incorporating such materials. More specifically this disclosure addresses thermoplastic sheets comprising: a) from 5 to 98.5 wt % of an essentially uncross-linked, random ethylene copolymer having from 20 wt % to 90 wt % repeat units from ethylene and from 10 wt % to 80 wt % of repeat units from one or more other ethylenically unsaturated monomers based upon the weight of the random ethylene copolymer; b) from 0.3 to 83.5 wt % of a polypropylene-based thermoplastic; and c) from 0.3 to 24.5 wt % of a vulcanized rubber dispersed phase. The disclosure also relates to methods of making the sheet compositions. One method includes incorporating a thermoplastic vulcanizate to provide the c) vulcanized rubber and in come cases, to supplement the b) polypropylene thermoplastic.