@DrMaria Akita has had a chequered past where approval has been concerned - see below: but it has only ever received local approval, not that of the Holy See.
It appears we're getting conflicting statements about Akita from the hierarchy . . .
It was initially approved by the local Ordinary, Bishop John Ito in 1984:
Akita. Ito, John Shojiro. Pastoral letter (1984-04-22) A concern that some have had is that the Akita statue is an exact carving of the ‘Our Lady of All Nations’ image, which alleged apparitions have now been definitively condemned by the Vatican,
Local Bishop and Vatican Condemn Apparitions Of “O… after the local Ordinary gave the devotion some kind of quasi-approval.
Another case concerns Fr Teiji Yasuda’s book, Akita: The Tears and Message of Mary. When it was originally translated into English, and published in 1989, the apostolic nuncio in Japan, Bishop William Aquin Carew, asked that sales be suspended, because of the text on the back cover. This was taken from an article in the October 1988 edition of the Catholic magazine, 30 DAYS, which ultimately came from a story reported by an Asian news agency. This detailed a meeting between Cardinal Ratzinger and Bishop Ito in June 1988, at which the latter handed over a dossier on Akita.
The article in 30 DAYS contained the sentence: “Ratzinger, after studying the dossier, is reported to have judged the Virgin’s messages as creditable.” But in April 1990, Bishop Carew noted of Cardinal Ratzinger that: “His Eminence did not give any judgment on the reliability or credibility of the ‘messages of the Virgin.’ According to the transcription of the meeting, he simply affirmed that ‘there are no objections to the conclusions of the pastoral letter.’ ” The back cover of the book was thus changed following the nuncio’s statement. (30 DAYS Magazine, July-August 1990, “The Tears of Akita,” by Stefano M. Paci, pp. 42-43.)
Later on, the situation was further clarified. It appears that the Vatican has not approved of Akita, as the following statement from the Apostolic Nuncio in Tokyo, Ambrose de Paoli, issued in 1999, makes clear. In response to a query from the editor of a British Catholic magazine, the Apostolic Nuncio stated: “The Congregation for the Doctrine of the Faith has asked me to respond to your query re: Akita. … The Holy See has never given any kind of approval to either the events or messages of Akita.” (Christian Order, December 1999, p. 610.)
As regards the wider Church, following the first commission, the Japanese bishops’ conference decided against Akita, and ordered that group pilgrimages to the shrine should cease, although they were prepared to allow individuals to visit the convent. Indeed, in 1990, the president of the conference, Peter Seiichi Shirayanagi, told 30 DAYS, in what were described as terms of “unusual harshness,” that, “The events of Akita are no longer to be taken seriously. We think they do not now have a great significance for the Church and Japanese society.” (30 DAYS Magazine, July -August 1990, “The Tears of Akita,” by Stefano M. Paci, p. 45).
So under the circumstances, given the conflicting information, it's very difficult to know what to make of Akita.
UPDATEJust to add to the confusion, I've just found this from the current bishop of Niigata, which appears to be a continuation of Bishop Ito's approval, and a rebuttal of the decision of the Japanese Bishops' Conference:
Message from Bishop Paul Daisuke Narui
The “Seitai Hoshikai” (Institute of the Handmaids of the Sacred Heart of Jesus in the Holy Eucharist) is located on a hill in the outskirts of Akita, where you find beautiful nature surrounding the convent. The beauty of nature created by God. The shrine designed in traditional Japanese style. The presence of the praying hospitable sisters. It is a space of prayer where we can leave our busy daily life and open our heart to the silent and holy surroundings. For us Christians, prayer is the foundation of our daily life, and it is the same for Christian communities. The sisters are always praying there. We can join in their prayer. It is a precious gift to have the Seitai Hoshikai, which is a community of prayer that offers a space for prayer, in the Niigata Diocese.
Since the statue of Mary miraculously shed tears, many people from both within and outside Japan have visited the Seitai Hoshikai as pilgrims. Those who saw the tears as well as those who come to visit the shrine and pray, follow the example of Holy Mary. They reflect on their lives in accordance with the example of Mary, deepen their faith, and are sent back to their daily life with renewed dedication. I hope many people will visit the Seitai Hoshikai to pray together. I also pray that there will be people who offer their life as sisters of the Seitai Hoshikai to continue this important mission for the Gospel.
Most. Rev. Paul Daisuke Narui
Bishop of the Diocese of Niigata