You mean the plastic box MONOLITH version?
It's quite rare, not from 1990 though.
Minasan no Okagesama Desu! ~ DaiSugoroku Taikai was first, originally released on July The 1st, 1991 - together with NeoGeo Japanese domestic re-launch (dedicated to consumer sale market, not rental, you know). It was, indeed, the carton box version, but it was a new release, just as those other 5 titles which never got a plastic box release (namely:
Ghost Pilots,
Sengoku Denshou,
King of the Monsters,
Raguy and
ASOII -Last Guardian-). This means: no plastic box version of
Minasan had been released prior to the carton box one. Yet,
Minasan got a first plastic box re-print (just as both
Magician Lord and
Majaan Kyouretsuden also did, being re-printed with altered inserts), the plastic version with MONOLITH logo. Then again, the game got a second plastic re-release, with the SNK logo. Quite a troubled distribution story indeed.