Harvest Moon - 2002 was released on:
USA: 13 June 2002 (Waterfront Film Festival)
Jeremiah - 2002 Moon in Gemini 1-16 was released on: USA: 14 June 2002 Germany: 11 April 2004
Full Moon Fright Night - 2002 Creeps 1-7 was released on: USA: 14 September 2002
Full Moon Fright Night - 2002 Castle Freak 1-2 was released on: USA: 10 August 2002
Hunter's Moon - 2014 was released on: USA: October 2014
Moon Machines - 2008 was released on: USA: 16 June 2008
The Harvest Moon - 1920 was released on: USA: 25 April 1920
Shine on Harvest Moon - 1932 was released on: USA: 6 May 1932
Dancing at the Harvest Moon was created in 2002.
Harvest Moon - 2008 was released on: USA: 9 May 2008 (Zompire: The Undead Film Festival)
It depends in which Harvest Moon you are playing. Most Harvest Moon games have Heart Events which aren't exactly like dates but there are a few Harvest Moon games were you do go on actual dates.
Paper Moon - 1974 Harvest 1-8 was released on: USA: 31 October 1974
Another Harvest Moon - 2010 was released on: USA: 6 October 2010 Italy: 2 November 2011
Camp - 2013 Harvest Moon 1-8 was released on: USA: 28 August 2013
Dancing at the Harvest Moon - 2002 TV is rated/received certificates of: Australia:PG
Hang Time - 1995 Harvest Moon 2-3 was released on: USA: 21 September 1996
Fat Albert and the Cosby Kids - 1972 Harvest Moon was released on: USA: 31 March 1985
Full Moon Fright Night - 2002 was released on: USA: 3 August 2002