You must be referring to an era in the 1960's!
Back then, the Vox and Farfisa organs were the only keyboards available and they both made awful "organ" sounds used on many hit records like "96 Tears", "Glad All Over"... I remember watching The Dave Clark Five keyboard player standing while he played his Vox keyboard.
Today, ALL keyboards are capable of making MILLIONS of sounds. In fact, I don't know of ANY one keyboard today that only produces 1 sound.