Unimedia rhymes with:
actmedia, intermedia, macromedia, media, metromedia, multimedia, telemedia, transmedia, actmedia, encyclopaedia, encyclopedia, expedia, intermedia, macromedia, media, metromedia, multimedia, telemedia, transmedia
Unimedia sounds like:
uinta, unaided, unamended, unanimity, unaudited, und, undated, undid, undo, undue, unedited, unheeded, unimate, uninitiated, unit, unita, unite, united, unity, unmade, unmanned, unmet, unnamed, unneeded, unted, untidy, untie, untied, untiedt, unto, unwanted, unwed, unwind, unwound