Thanks to the listings posted on the Wyoming Shrine Bowl website, I have created an interactive database of Shrine Bowl players from 1974 to 2014. This database is searchable. For example, if you want to see a certain team, just type in the year and team into the search bar (e.g. searching 1985 South returns that team). Or search for a certain school to see all players selected from that school.
The database is available here.