There's no global database that I know of. To illustrate: our Masters' courses do not, to the best of my knowledge, submit details to any. And we run several that relate to sustainable consumption, for some meaning of that phrase. I won't link to them, because that's just going to look spammy, but if you're interested, a quick web search will find them for you:
- MSc in Economics and Policy of Energy and the Environment
- MRes Energy Demand Studies
- Masters in Sustainable Resources (SRES)
Although there's no global database, there are national ones. For example, there is a site for Postgrad courses in the UK: here's their list of 1521 courses in the UK that have "sustainable" in the title or short description. But note that of the three I listed, only two are present in that list, so that particular search is not comprehensive: a course might be about sustainable consumption, without including the word "sustainable" in the title or short description.