ace, base, basins, brace, case, chase, grace, lace, mace, place, race, space, trace, bass, Mace, pacemore (near rhymes)...

crawlspace, headcase, bootlace, half-face, scarface, workplace, typeface, tide-race, unlace, backspace, rat-race, paleface, straight-face, deface, debase, disgrace, displace, embrace, encase, grimace, misplace, replace, retrace, apace, complacence, boldface, coal-face, obeisance, briefcase, nutcase, someplace, air base, airspace, staircase, test case, bookcase, shoelace, suitcase, birthplace, first base, drag race, rat race, showcasemore (near rhymes)...

funny-face, breathing-space, medicine-case, resting-place, fingered-face, carapace, caucus-race, human-race, interlace, lowercase, outer-space, stable-place, steeplechase, upper-case, wild goose chase, basket case, marketplace, polling place, interface, aerospace, commonplace, cyberspace, database, double bass, fireplace, human race, hyperspace, lovers-place, outer space, pencil case, about-face, pillowcasemore (near rhymes)...

attache casemore (near rhymes)...