I got the idea of calling it a pearl radio from the Earrings used in the opening movie - which act like walkie talkie radios by the NPCs.
A Pearl Radio (or Ahriman radio, Carbuncle Radio, Toneberry, etc.) would be a crafted item you stick on a table (unless its really big). It would be a clickable item similar to Retainer Bells and some of the Lamps.
Initially, it would have, lets say, 3 stations. The idea is basically, many people don't like the background music of housing, and would like to change it to something else. I propose the radio therefore have two primary functions:
1. an on/off switch
2. change station button
Stations could be various loops of music already in the game, or entirely new music loops made just for the radio. They could also be various Tracks from Previous Final Fantasy Games. People like housing items that actually do something.
People love music. People love choices.