This came to me after reading this post.
I had a look at the API page and I wanted to find a way to search for the most Favoured questions. Is there a way to do this?
I tried to manipulate the URL but came up with nothing significant.
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Looking at the API 2.0 docs it looks like you can only pull favorites for a set of users - see http://api.stackexchange.com/docs/favorites-on-users#order=desc&min=2011-12-01&max=2012-01-01&sort=added&ids=29407&filter=default&site=stackoverflow&run=true
It explains how the list of users is currently constrained to 100 entries, so the data explorer might be a better general purpose tool to get site wide favorites independent of a targeted list of users.