I'm not sure there's ever been a notable situation where it ended up being everyone against a single communist party. What usually happens is is becomes a civil war between right wing 'White' factions, like monarchists, conservatives, and fascists, against left wing 'Red' factions, like anarchists, liberals, socialists, and communists.

The Finnish Civil War is a good example. It occurred towards the end of WWI and was between German-backed conservative Whites against Soviet-backed leftist Reds. The Whites won and Finland became a monarchy backed by the German Empire until the end of WWI, when it became a democracy.

Spanish Civil War is more well known and sort of along these lines. While certainly not everyone on the Republican side was communist, they were supported by the USSR. The Nationalists who opposed them were composed of monarchists, fascists, and religious conservatives. The Nationalists eventually won and Fransisco Franco took power and ruled from 1939 to 1975 when he died. The Ethiopian Civil War is kind of like this too. Marxists overthrew the emperor in the 70s and ruled until the 90s, where it was pushed out of power by a coalition of republicans, socialists, and ethnic nationalists.