The below is the known list of games where a UK player had 10+ assists and 10+ points. The only player who has had 10+ assists and 10+ rebounds is Chris Mills as part of his triple-double game vs. Austin Peay (already listed below).
Player - Date - Opponent - Points - Assists
Larry Conley 12/4/1964 Iowa 18 10
Stan Key 3/6/1972 Auburn 23 10
Kyle Macy 11/26/1977 Southern Methodist 16 10
Kyle Macy 2/15/1978 Tennessee 13 10
Kyle Macy 2/27/1978 Georgia 10 10
Dirk Minniefield 1/23/1980 Mississippi State 14 13
Kyle Macy 2/2/1980 Tennessee 22 10
Dirk Minniefield 12/30/1980 Maine 10 11
Dirk Minniefield 3/1/1981 Louisiana State 11 10
Dirk Minniefield 12/18/1981 Jacksonville 14 10
Dirk Minniefield 1/23/1982 Vanderbilt 16 10
Dirk Minniefield 11/27/1982 Butler 15 11
Dirk Minniefield 12/4/1982 Villanova 10 14
Dicky Beal 2/13/1984 Florida 10 11
Roger Harden 2/24/1985 Georgia 11 10
Roger Harden 2/28/1985 Tennessee 10 12
Roger Harden 1/29/1986 Louisiana State 10 10
Roger Harden 2/15/1986 Mississippi State 12 10
Chris Mills 12/27/1988 Austin Peay 19 10
Sean Woods 12/23/1989 SW Louisiana 12 11
Sean Woods 1/16/1991 Mississippi 17 11
Sean Woods 2/9/1991 Mississippi State 12 10
Travis Ford 12/8/1993 Eastern Kentucky 12 15
Travis Ford 2/15/1994 Louisiana State 10 12
Anthony Epps 3/4/1995 Louisiana State 15 13
Wayne Turner 1/24/1998 Tennessee 17 11
Cliff Hawkins 11/28/2003 Tennessee Tech 17 11
Cliff Hawkins 3/3/2004 South Carolina 21 11
John Wall 11/21/2009 Rider 21 11
John Wall 11/30/2009 UNC Asheville 12 14
John Wall 3/18/2010 East Tennessee State 17 11
Marquis Teague 2/7/2012 Florida 12 10
Tyler Ulis 1/2/2016 Mississippi 20 10
Tyler Ulis 2/6/2016 Florida 18 11
Tyler Ulis 2/13/2016 South Carolina 27 12
Tyler Ulis 2/20/2016 Texas A & M 22 11
Tyler Ulis 2/23/2016 Alabama 19 10