All call times Eastern time, and from CNN, based on my personal tape of the election night coverage. The first time that a state is mentioned is also the time at which the polls closed in that state.
6:00 PM
Indiana too close to call
Kentucky too close to call
7:00 PM
Florida called for Clinton
New Hampshire called for Clinton
Vermont called for Clinton
Georgia too close to call
Virginia too close to call
South Carolina too close to call
Clinton 32, Dole 0
7:30 PM
Ohio called for Clinton
West Virginia called for Clinton
North Carolina too close to call
Clinton 58, Dole 0
8:00 PM
Texas called for Dole
Pennsylvania called for Clinton
Illinois called for Clinton
Michigan called for Clinton
New Jersey called for Clinton
Massachusetts called for Clinton
Missouri called for Clinton
Tennessee called for Clinton
Maryland called for Clinton
Connecticut called for Clinton
Oklahoma called for Dole
Kansas called for Dole
Maine called for Clinton
Delaware called for Clinton
District of Columbia called for Clinton
Mississippi too close to call
Alabama called for Dole
Clinton 198, Dole 55
8:20 PM
Indiana called for Dole
Clinton 198, Dole 67
8:30 PM
Arkansas called for Clinton
Clinton 204, Dole 67
8:35 PM
Kentucky called for Clinton
South Carolina called for Dole
Clinton 212, Dole 75
8:50 PM
North Carolina called for Dole
Clinton 212, Dole 89
9:00 PM
New York called for Clinton
Wisconsin called for Clinton
Minnesota called for Clinton
Louisiana too close to call
Arizona too close to call
Colorado too close to call
Nebraska called for Dole
New Mexico called for Clinton
Rhode Island called for Clinton
North Dakota too close to call
South Dakota too close to call
Wyoming called for Dole
Clinton 275, Dole 97
Clinton declared the winner
9:25 PM
Louisiana called for Clinton
Clinton 284, Dole 97
10:00 PM
Iowa called for Clinton
Utah called for Dole
Idaho called for Dole
Nevada too close to call
Montana too close to call
Clinton 291 Dole 106
10:05 PM
Virginia called for Dole
Clinton 291 Dole 119
10:30 PM
Mississippi called for Dole
Clinton 291 Dole 126
10:55 PM
North Dakota called for Dole
Clinton 291 Dole 129
11:00 PM
California called for Clinton
Washington called for Clinton
Oregon called for Clinton
Hawaii called for Clinton
Clinton 365 Dole 129
11:15 PM
Dole's concession speech
11:25 PM
South Dakota called for Dole
Clinton 365 Dole 132
11:55 PM
Clinton's victory speech
12:00 AM
Alaska called for Dole
Clinton 365 Dole 135
12:25 AM
Arizona called for Clinton
Clinton 375 Dole 135
2:00 AM
Georgia called for Dole
Clinton 375 Dole 148
Not sure when Nevada was called for Clinton or Montana and Colorado for Dole; that's the end of the tape.