This sounds like the same thing I've heard occasionally in my '99 LX. It sounds/feels to me like a harsh downshift from 3rd to 2nd, or 2nd to 1rst. (Can't remember which one...) I don't hear excessive drivetrain play, just a harsh downshift that "rings" the drivetrain, while coasting down and/or gently braking down to a stop.
Changing the trans fluid might help, dunno. The condition is not significant enough by itself to drive me to do much more than that, if anything.
It is not the same thing as the slight thud ("ffwwmmpp" - slip joint flatulence?) that occasionally happens upon accelerating from a standstill. (That condition, too, is not severe enough by itself to drive me to do anything about it, other than make sure the driveshaft is lubed...)
Both conditions have been evident in my '99 for several years now at least, and they are not getting any worse.
(I view them as two of the minor imperfections that accompany an otherwise great and gracefully aging vehicle.)