Here is a list of US Open women's singles champions since the open era began in 1968:
2016 - Angelique Kerber (Germany) beat Karolina Pliskova (CzechRepublic) 6-3, 4-6, 6-4
2015 - Flavia Pennetta (Italy) beat Roberta Vinci (Italy) 7-6(4), 6-2
2014 - Serena Williams (US) beat Caroline Wozniacki (Denmark) 6-3, 6-3
2013 - Serena Williams beat Victoria Azarenka (Belarus) 7-5, 6-7(6), 6-1
2012 - Serena Williams beat Azarenka 6-2, 2-6, 7-5
2011 - Samantha Stosur (Australia) beat Serena Williams 6-2, 6-3
2010 - Kim Clijsters (Belgium) beat Vera Zvonareva (Russia) 6-2, 6-1
2009 - Clijsters beat Wozniacki 7-5, 6-3
2008 - Serena Williams beat Jelena Jankovic (Serbia) 6-4, 7-5
2007 - Justine Henin (Belgium) beat Svetlana Kuznetsova (Russia) 6-1, 6-3
2006 - Maria Sharapova (Russia) beat Henin 6-4, 6-4
2005 - Clijsters beat Mary Pierce (France) 6-3, 6-1
2004 - Kuznetsova beat Elena Dementieva (Russia) 6-3, 7-5
2003 - Henin beat Clijsters 7-5, 6-1
2002 - Serena Williams beat Venus Williams (US) 6-4, 6-3
2001 - Venus Williams beat Serena Williams 6-2, 6-4
2000 - Venus Williams beat Lindsay Davenport (US) 6-4, 7-5
1999 - Serena Williams beat Martina Hingis (Switzerland) 6-3, 7-6
1998 - Davenport beat Hingis 6-3, 7-5
1997 - Hingis beat Venus Williams 6-0, 6-4
1996 - Steffi Graf (Germany) beat Monica Seles (US) 7-5, 6-4
1995 - Graf beat Seles 7-6, 0-6, 6-3
1994 - Arantxa Sanchez-Vicario (Spain) beat Graf 1-6, 7-6, 6-4
1993 - Graf beat Helena Sukova (CzechRepublic) 6-3, 6-3
1992 - Seles beat Sanchez-Vicario 6-3, 6-3
1991 - Seles (Yugoslavia) beat Martina Navratilova (US) 7-6, 6-1
1990 - Gabriela Sabatini (Argentina) beat Graf 6-2, 7-6
1989 - Graf beat Navratilova 3-6, 7-5, 6-1
1988 - Graf beat Sabatini 6-3, 3-6, 6-1
1987 - Navratilova beat Graf 7-6, 6-1
1986 - Navratilova beat Sukova 6-3, 6-2
1985 - Hana Mandlikova (Czechoslovakia) beat Navratilova 7-6, 1-6, 7-6
1984 - Navratilova beat Chris Evert-Lloyd 4-6, 6-4, 6-4
1983 - Navratilova beat Evert-Lloyd 6-1, 6-3
1982 - Evert-Lloyd beat Mandlikova 6-3, 6-1
1981 - Tracy Austin (US) beat Navratilova 1-6, 7-6, 7-6
1980 - Evert-Lloyd beat Mandlikova 5-7, 6-1, 6-1
1979 - Austin beat Evert-Lloyd 6-4, 6-3
1978 - Evert beat Pam Shriver (US) 7-5, 6-4
1977 - Evert beat Wendy Turnbull (Australia) 7-6, 6-2
1976 - Evert beat Evonne Goolagong (Australia) 6-3, 6-0
1975 - Evert beat Goolagong 5-7, 6-4, 6-2
1974 - Billie Jean King (US) beat Goolagong 3-6, 6-3, 7-5
1973 - Margaret Smith Court (Australia) beat Goolagong 7-6, 5-7, 6-2
1972 - King beat Kerry Melville (Australia) 6-3, 7-5
1971 - King beat Rosemary Casals (US) 6-4, 7-6
1970 - Smith Court beat Casals 6-2, 2-6, 6-1
1969 - Smith Court beat Nancy Richey (US) 6-2, 6-2
1968 - Virginia Wade (Britain) beat King 6-4, 6-4