How do I find in Stack Overflow, regardless of the question, the answers with the maximum upvotes? I just want to read the best answers posted in the site.
as commented below, you will probably want to filter further by interesting tags to get information of any value.
unfortunately there is currently no direct correlation of this query in the API.
when/if this does get implemented, an up-to-the-minute view of 'guru answers' to questions of interest will be possible.
You can run/create a query at the Stack Exchange Explorer.