Finished a Brazil game. Started the game with the following objectives:
1) Sphere all American countries
2) Remove as much European presence in Americas as possible: main priority is Canada, then Guyanas, and at last those small Caribbean islands.
3) Find a way to cripple USA, lowering their score until they can be permanently added to Brazil sphere of influence
First moves are the average BR moves: conquering Mato Grosso and Amazonas cores, and annexing Uruguay. In late 1850s, fought some wars in Asia, so I could get some colonies there and some foothold to help me during the colonial race, and in 1865, I conquered Transvaal for the same reason. I was focused on improving my literacy, improving naval stations in main country and minor footholds for better colonial range, building as many ships as I could to get colonial points between early game until 1872, when colonization started. As soon it was available, I colonized South Georgia before UK could reach it, as South George + naval station level 1 let me reach some lands that was unavailable at time with other naval stations.
In 1876 I reached GP status, between 1878 and 1882 I conquered Sokoto, Cambodia, Dai Nam and Luang Prabang. In 1883 African colonization virtually ended, with remaining unconquered territories already being colonized by other countries. Then it was time for me to focus on sphering all american countries: I started with south neighbours all the way up to Mexico, which I sphered around 1890. Meanwhile, I started recruiting soldiers from african colonies and preparing myself to fight against United States. In 1891, I waged my first wars against USA: I used Cut Down to Size, because it's only 50 of warscore and it will give me a boost while cutting US army during truce, and allowing me to occupy them entirely next wars. By playing it in defense, allowing american troops to attack me only in mountain terrain, I was able to win this fight. I spent the truce annexing Oranje and Zulu, and got a state from Guangxi, which started a wave of chinese conquests, feeding more soldiers into my army.
In 1900, I started my second war against USA, using the same strategy and winning again, giving Mexico back its cores in 1904. After that, I engaged against USA again between 1911 and 1915, when I released "American Canada", because USA thought it was a good idea to colonize some Canadian lands before the British, and also occupied the entire US territory, hurting them even more. In 1919 USA reached secondary power status, and 1920 I was able to release New England, depriving USA of its most powerful industries, almost halving their industrial score, and adding them inside Brazilian SoI for good, hitting the last nail for USA. It was a quicker war, where I was able to do in a single year, as the americans were already very depleted and couldn't show much of resistance. This was also made rebels pop in every US state except Washington, where I left some troops to stop rebels changing its government and removing them from my SoI. In fact, US stayed with rebel occupation in every state except its capital until almost 1935, because I really wanted to force them down, not letting United States rising to GP status again (and also I didn't want to occupy every US province again just to wipe out rebel presence, as it is a very annoying job).
With US done, the last big country in my checklist was Canada. In 1925, I started the first Great War, with Brazil, France, Germany and Japan vs. UK, Russia, Spain and Ottomans. Japan was an "ally" in name only, as they did virtually nothing during the course of the war. In fact, not even when Ottomans send a small force to conquer Okinawa did Japanese forces left their lands: truly a shame. Between 1925 and 1927, Brazilian forces where able to fight British troops and conquer 100% of Canadian land, while our allies fought alone in Europe. After that, I immediately send my troops to Europe, as Germany and France were almost fully occupied. Then, I spent between 1927 to 1929 releasing France and Germany, until finally getting Canada from UK and Cuba and Puerto Rico from Spain.
While me and my allies did win the war, the occupation and war exhaustion for France and Germany was too much for them: rebels doomstacks started to appear, destroy their entire army and change their government, and then 6 months later another rebellion of different ideologies did the same, and then another. This made impossible for me to keep them as allies, as they couldn't fight or even keep an alliance without rebels enforcing demands, even if they were getting compensation from UK.
In 1934, I started the 2nd Great War and my last fight: with Brazil and Japan vs. UK, Russia, Spain, Denmark and Ottomans (Italy was also my ally, but they were in truce with Spain, so they couldn't join in). This time, Japan did help, leaving their islands and holding an English seacoast, where I landed my entire army and occupied London. Almost by the end of the game, I managed to give Malvinas (Falklands) to Argentina, Guayana to Venezuela, Belize to USCA, and I got the British Caribbean Islands, West Indies, Lesser Antilles and South Atlantic Islands.
With that, I removed entirely the British presence from Americas, added every American country into Brazilian Sphere of Influence, and left European presence in American region just with some footholds, like French Guyana and Antilles.
Although I managed to get #1 score position and #3 industrial position, it seems like that I got it more because of the wrecked economies of my enemies than of my own performance: in fact, Brazil was just #9 in industrial score before 1st Great War. Mid-game felt that I was doing poorly in terms of industry, but managed to rise when beating the competition. Also, that yellow country neighboring Colombia is Gran Colombia, with Ecuador inside. I don't know how that happened.