The Iida Company (sometimes misspelled Jida or Ida) began making guitars in 1958 in Nagoya, Japan. Iida made solid body, semi-acoustic and acoustic guitars as an OEM builder for other well-known brands including Ibanez, Yamaha and Caparison. Iida Gakki also owns the Peerless guitar factory in Korea which specialises in archtop guitars.

I have not seen Iida branded guitars yet - although there were Iida banjos in the 1970s distributed in the USA by C. Bruno (Kaman Corporation). According to the Iida banjo catalog, Teruo Iida (son of the founder of the Iida Company) became fascinated with banjos at an early age and personally set up the Iida banjo production facility.

Source: Iida banjo catalog (1976)

Source: Claescaster - Japanese brands