Um, let's see - the classic film of this Eugene O'Neill play, with Jason Robards (actually Jason Robards Jr) playing the role of James Tyrone was released in 1962, with Kate Hepburn playing the Mary Tyrone role. Robards had originated the role in the first American production of the play (1957), for which he was nominated for, but did not win a Tony.
In 1976, Robards reprised the role in a bicentennial production at the Brooklyn Academy of the Arts - not only did he take on the role of James Tyrone, Robards also directed this production.
In 1986, the play was revived at the Broadhurst Theater, with Jack Lemmon and Bethel Leslie in the roles of James and Mary -
I think the version you must be looking for is the 1988 revival at the Neil Simon Theater, starring Jason Robards and Colleen Dewhurst. Jamey Sheridan and Campbell Scott rounded out the cast - this version was directed by Jose Quintero, and it opened on June 6, 1988.
(I hope that's it - looking this up was exhausting!)