The American Independence, proclaimed in 1776 but achieved in 1783, had a much more profound impact than it actually did in OTL. The movements for independence started in several colonies across the Americas as soon as the Americans where free, and those movements where supported by several nations across Europe, specially the United Kingdom.
1789 - The Dawn of Liberty in America
After the start of the French Revolution, in 1789, the independence movements started across the whole Americas. The Mexicans claimed for independence, under the command of Agustín de Iturbide; the Louisianians started fighting to preserve their French heritage, against the Spanish rule; the Colombians and Venezuelans, under the guidance of Simon Bolívar, started rioting against the unfair rule of a distant King; the Brazilians started fighting against unfair rule from Portugal; even the Cubans started rioting. The rule of the Spanish and Portuguese over the continent seem nothing but a distant past.
Mexico - A new Empire
In January of 1790, after the movements of the French Revolution; the Mexicans were asking for revocation of several Spanish impositions over the years, like the Colonial status and the Casta system imposed. The Spanish crown opposed and sent the army to repress the riots in Mexico City and Veracruz. The army, initially obeying Madrid orders, advanced against the population, only to be pushed back. After some weeks, some regiments joined the rebellion and even some officers, like Agustín de Iturbide, joined as commanders of the movement. After a month, the whole colonial army of New Spain was under Mexican control. The Spanish tried to send some troops from Europe, but those refused to embark, fearful of the repression by the Mexicans, made famous by several Spanish newspapers. After some battle against the few troops that arrived, Agustín, now Leader of the independence movement, managed to convince a peace treaty, being recognized the Mexican independence, under the rule of Emperor Agustín I, crowned in the December of 1790.
Louisiana - The struggle against Spain
Initially a movement against Spanish rule and preservation of the french heritage, the upper and middle class of Louisiana started the independence movement, supported by the recently independent Mexico and by the United States. The lower classes joined the movement quickly, and the Spanish had no option. Louisiana was made independent by 1792, after some battles around New Orleans. Louis Philippe, Duke of Orléans was invited to become King of Louisiana, since he was a member of the French Royal Family, known by his defense of Liberty and Equality, by his nickname "Philippe Égalité".
Cuba - The fight for Liberty
After the successful independence of Mexico and Louisiana, in 1794, the upper classes of Cuba started rioting over autonomy. The violent repression of the already fearful Spanish led to the support of the Mexicans and Americans in the war, with even George Washington himself authorizing the dispatch of troops to Havana, although not representing the United States, avoiding so war with Spain, even though damaged the relations between the nations. The Spanish had control over the south island, including Santiago de Cuba, de facto capital of the colony, while the rebels held Havana, capital of the independent Republic of Cuba. After three years of fighting, in 1797, Spain recognized the independence of the island, now a free republic, protected by the United States.
Brazil - A Empire together with Europe
Fights in Brazil stated around 1795, with independence proclaimed in September 7th. Battles occurred around Rio de Janeiro, São Paulo, Salvador, Recife. Within two weeks, the colonial government was overthrown and a parliament established in Rio. The king of Portugal was able to enforce an agreement, approved by the parliament: Brazil would be independent, but he would be its ruler. The Parliament then approved the new Emperor, but forced him to reallocate to Rio. Without option, Dom João VI moved to the city together with the family, what irritated the Portuguese nobility, although most of them moved together with D. João to Rio. The disputes over the king between Portugal and Brazil in 1826, when D. João died and the nations were divided between his sons, D. Pedro and D. Miguel.
Gran Colombia - The liberation of South America
In 1796, the unsatisfied upper class of the north of South America was fed up with the Spanish, that were demanding more after the independence of the former colonial neighbors. Under the leadership of Simón Bolívar, the nations that in OTL form Ecuador, Colombia and Venezuela formed the Empire of Gran Colombia, with Bolívar as first emperor.