You won't find many votes that have failed, because the president circulates the idea with the BOR before launching and and only goes public if he knows he has the votes.
A few years back, Bud pushed for a Communications Program focused on Digital Communications or Digital Marketing. The purpose would be to train students in how to use social media to generate consumer insights around products/services and how to use these platforms to target consumers. Most of the classes for the major exist in Psychology (quantitative psychology) and Business (marketing). To make it a Tech degree, you could throw in some basic applied web programming requirements. The program is highly relevant for businesses now and in the future, and the consulting fees GT could bring in would more than pay for the degree. Ultimately this idea was circulated and denied by the BOR. The idea that GT could market to athletes "come here and major in Twitter" was apparently a concern.
Other examples: Tech was denied offering an MBA degree for multiple decades by UGA supporters on the BOR. Tech offered the MSM instead of the MBA until, I think, around 2005. I'm having trouble remembering, but I believe Tech's MBA was approved because of a deal that gave UGA something they wanted (maybe the satellite campus of the medical school in Athens?) There have been rumblings for a decade about a Medical School at GT, but that isn't even discussed because of UGA's push for a medical school for twice as long. GT also looked at a law school at one point.