Pretty straight forward

It's less straight forward than you might think.

/u/petros08 states that:

The Catholic church endorsed Franco against the Spanish Republic

One would have to be careful in defining what was meant by "the Catholic Church" in that statement. The poster is absolutely correct that the vast majority of the hierarchy in Spain endorsed Franco's rebellion via Archbishop Gomá's letter in 1937. More importantly (in my opinion) was the ideological groundwork laid by various theologians in Spain, especially in the 1930's. Jose M. Sanchez explains this quite well in The Spanish Civil War as a Religious Tragedy. He notes that:

Technically the Spanish war was a rebellion, a revolt against the government. A theology of rebellion was necessary (pg 147)

Such a theology was created and spread, which made it easier for Catholics to feel justified in joining Franco's enterprise.

Now we have to start adding caveats. The first is that this theological idea ended up being a dead end. Few outside of Spain would have found these ideas to be intelligible. There was an attempt to use the logic of the position to garner Catholic support in other nations such as the US, but the concept never caught on. This leads into the second caveat: the Vatican was less than enthusiastic about the idea or the rebellion. Some will cite Pius XII's message to Franco as evidence of full Vatican support of the rebellion, but that "support" was laced with serious concerns for how the Nationalists were conducting themselves in Spain (I go into this in detail in this /r/badhistory post if anyone is interested). The Nationalists also edited several of Pius XI's messages and speeches before publishing them in Spain, removing the pontiff's criticisms of the rebellion and the regime (not to mention banning Mit Brennender Sorge while widely publishing Divini Redemptoris). It doesn't seem consistent to claim that the Vatican gave full support to the Nationalists when the Nationalists are editing out Vatican criticisms and banning some Vatican documents. Claims that the Nationalist cause was a "crusade" are dismantled by Sanchez in his book, and the only "crusade" that was called for by the Vatican at the time was a crusade of prayer to be taken up by the contemplative orders (Divini Redemptoris 59), not men with guns.

Finally, it must be mentioned that even the hierarchy within Spain was not unanimous in its support of Franco's rebellion. Dissenters included Cardinal Archbishop Francisco Vidal y Barraquer and Bishop Mateo Mugica Urrestarazu, both of which were closer to the Vatican's position than the one described in the letter from Gomá.

Care must be exercised when defining terms. The Vatican is distinct from the hierarchy in Spain, which is distinct from the clergy and laity as well as the hierarchy in other nations. So, if we were to define our terms carefully I think it would be accurate to say that "the Catholic Church in Spain" supported Franco's rebellion. That would be a generalization I could fully support because the evidence supports that position. It is tragic that such support was given to a regime that Sanchez calls "barbarous," a word that I think is quite apt. His book largely focuses on anticlerical violence during the war, but he also criticizes the unconditional support given to the Nationalists by many in the Spanish hierarchy by saying that

worse, those Catholics who were not sacrificed to the [anticlerical] fury condoned by their silence unchristian, inhuman reprisals against victims of circumstance, and they publicly lauded and supported a regime built in large part on oppression and special privilege. They became the clergy and laity of the church of vengeance, and they lost the opportunity to form the truly Christian church of reconciliation

The Catholic church endorsed Franco against the Spanish Republic. There were statements of support by individual bishops and a collective Pastoral in 1937. It had a big effect on Catholic opinion around Europe.

As was said by other this is not a simple question. As Franco was already mentioned I figure i'd give a more positive example.

The Vatican, through its Bank of the Vatican, strongly supported and funded Solidarnosc and the Lech Walesa movement, which (experts can give more details here, I would not be a good reference for this) allowed Poland to somewhat break free of Soviet influence. Reports of nuns and priests crossing into the country with suitcases full of cash are fairly common, all this to try and fight communism.