Here's what rhymes with unobtrustive.
combustive Words that almost rhyme with unobtrustive
muftis injustice obstructive ablative eruptive irruptive destructive productive disruptive locative appositive lenitive constructive inductive instructive repulsive seductive transitive unproductive conductive presumptive subjunctive fricative nondestructive propulsive vocative assumptive mutative reproductive compulsive impulsive disjunctive nonproductive convulsive proliferative consumptive reconstructive nonconstructive counterproductive superconductive