Here are the top 30ish non-jouyou, non-jinmei kanji from several frequency databases. I compiled these a while ago for my own curiosity and don't readily have references to the source data (other than the excel file I made).
The kanji in each list (except for the last one) are in descending order of frequency with the most frequent first.
Top 50 Jinmei from Newspaper
(EDIT: These were completely incorrect before the edit. I skipped part of the data when copying.)
These are the ones that appear in more than one list (so they are probably the most useful)