Some of the data sets can be found here.
1991 - Disease Data for Public Health Surveillance
1990 - King Crab Data
1988 - Baseball
The 1988 Exposition's data was collected by Lorraine Denby. It addressed the 1986 salaries and performance of North American Major League Baseball players.
The Exposition's original instructions and data
A set of corrections to the original data
A second set of revisions, provided by Hoaglin and Vellema.
1986 Geometric Feature of Pollen Grains
The 1986 Exposition's dataset was assembled by David Coleman of RCA Labs. Artificially generated, the data is comprised of 3848 observations on 5 variables.
The Exposition's data
The 1983 Data Exposition dataset was collected by Ernesto Ramos and David Donoho and dealt with automobiles. Data on mpg, cylinders, displacement, was provided for 406 different cars, each identified by name.
The Exposition's instructions.
The Exposition's data.