Who did Abraham Lincoln run against?

In the 1860 Presidential election, Abraham Lincoln defeated Democrat Stephen A. Douglas, Southern Democrat John C. Breckinridge, and John Bell of the new Constitutional Union Party.

In 1864, Lincoln won re-election against Democrat George B. McClellan.
Vice President John C. Breckinridge of Kentucky (Southern Democrat)

U.S. Senator Stephen A. Douglas of Illinois (Northern Democrat)

former U.S. Senator John Bell of Tennessee (Constitutional Union Party)