You might be thinking of a game in '86 (perhaps '85) where the Tigers lost a game by giving up 7 or 8 runs in the bottom of the ninth in Anaheim.
I remember that one because it was a 10:05 start and I was 10 or 11 years old - and fell asleep listening to the radio - but as I was fading away I felt confident that the Tigers would win.
I was shocked to find out they lost when I read the paper the next day. The photo in the paper was of the Angels celebrating at home plate - Don Sutton was in the photo - and I think Sutton was the Angels starter that day.
Back in '07 (I think) the Tigers lost to the Indians in the bottom of the ninth in Cleveland when the Indians went off for 7 runs or so.