1862:  
Affair on St. Helena Island, South Carolina

Skirmishes at Manassas Junction and near Bristoe Station, Virginia


1863:  
Skirmish at Washington, Louisiana

Skirmish at Buffalo Mountain, Arkansas

Skirmish at Tuscumbia, Alabama

Skirmishes at Liberty and Bealeton, Virginia

Skirmish near Harrisonville, Missouri


1864:  
Skirmish near Magnolia, Florida

Skirmish near South River Georgia


Primary sources:
Official Records of the War of the Rebellion
A Compendium of the War of the Rebellion ; by Frederick Dyer;
The Civil War Day By Day: An Almanac 1861-1865 by E. B. Long with Barbara Long;
National Archives Guide Index

I forgot something important.

1861 - The first transcontinental telegraph line is completed. Important because it only runs through northern states.