The Final Jeopardy category for July 27 2010 was Monarchs
The Final Jeopardy category for August 27 2010 was Biblical Kings
The Final Jeopardy category for September 17 2010 was Rivers
The following are the Jeopardy Final Categories for the May weekday episodes:May 3 2010 U.S.A.May 4 2010 Official State SongsMay 5 2010 Movie HistoryMay 6 2010 American LiteratureMay 7 2010 Middle East CountriesMay 10 2010 English Literal HistoryMay 11 2010 Words in the BibleMay 12 2010 18th Century ScotsmanMay 13 2010 Busy PresidentsMay 14 2010 The 50 StatesMay 17 2010 20th Century ThinkersMay 18 2010 Roman EmperorsMay 19 2010 OperaMay 20 2010 African CapitalsMay 21 2010 From Novel to FilmMay 24 2010 American CitiesMay 25 2010 Familiar PhasesMay 26 2010 PediatricsMay 27 2010 Colonial AfricaMay 28 2010 Awards and HonorsMay 31 2010 English Poets
The final category was Fictional Characters
Jeopardy - 1984 2010-B College Championship Final Game 2 27-50 was released on: USA: 19 November 2010
Jeopardy - 1984 2010-B College Championship Final Game 1 27-49 was released on: USA: 18 November 2010
Related link has the season 27 Categories question and answers for the Jeopardy by the air date of the orginal episode
Your question did not ask for the final category or final Jeopardy for that date and a link has been provided to the Jeopardy for that date under related links along with the final Jeopardy answer below: The final category is Americana The clue was: Finding the spot for this memorial caused it's creator to say America will walk along that skyline The answer was: What is Mount Rushmore - December 27 2010
Rose Bowl HistoryThe Final Category for January 1 2010 was Rose Bowl History
Jeopardy - 1984 2011 Teachers Tournament Final Game 2 27-175 was released on: USA: 13 May 2011
Jeopardy - 1984 27-27 was released on: USA: 19 October 2010