You don't confuse "war" and "battle", do you?
It'll be difficult to find battles with little killing in history books because "much killing" is pretty much the historian's definition of a battle.
I recall a late Western Roman battle with less than 300 Roman KIA and not terribly much barbarian KIA, though. Just can't name it now. The battle was decisive in the war with losses of less than 5%.
Another Roman example might be more useful; Caesar did not fight all Gaul armies that faced his. Sometimes he simply avoided a battle and waited till the superior enemy army disintegrated due to inferior logistics. He defeated and discouraged several tribes like that.
There were also wars in the 18th century without any battle. The Austrians had a Marshal who followed the indirect approach of maneuvering the enemy out of the lad he was meant to occupy. He threatened the lines of communication and made the enemy's position in the contested territory untenable.
The German invasion of Denmark in 1940 killed less than a hundred Danes and was the quickest war ever (officially no war, though).
The German-Bulgarian invasion of Yugoslavia was finished in a mere 11 days, won by preventing a mobilisation and keeping the Yugoslavians from organising a defence. One motorised infantry regiment moving through the whole of Yugoslavia at the tip of the spear and had not a single KIA.
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