It's a bit humbling to present this when the first post of the page is a WC from the same start, but here's Great -> Golden Horde -> Mongols, earning me the
Gold Rush and the
Great Khan achievements. Also the
Trade Hegemon one - I'm was a bit surprised that I never randomly picked that one up in a previous run. Also
not the
I'll Graze My Horse achievement and I'm still a bit salty about that. I literally missed that one because I didn't let one day tick by before forming the Mongol Empire when I conquered the last required provinces from the Ming, which put me above 200 grain/livestock provinces as well - achievements don't register if you don't let a day pass while fulfilling the requirements. Completely my own fault, of course (the achievement tooltip specifically mentions the "Steppe Nomad" reform and not "Great Mongol State"), but I'm still salty about that.
I could let the game run for another 15-20 years to get Turning the Tide, but I'm sure I'll have a Horde game at some point that reaches the 18th century naturally.
Semien and Danzig are the two vassals that I haven't integrated yet (and I never really bothered feeding Danzig tbh), while the Ottomans have been my ally for the entire game - only defensively, because they considered all the interesting wars to be to distant, but still very handy as a coalition deterrent. I suspect that the alliance is fairly close to breaking despite 100 trust, though, since Irritated over Claims modifiers are starting to tank my opinion of them.
Anyway, to go through the timeline a little bit: I conquered the required provinces from Muscovy in 1467 with a tech 6 rush - still a fairly tough war since they had roughly twice my numbers, but we all know how the AI reacts to a full-CW stack.
At that point, I had already eaten Crimea (who had allied Otto, but they got a Malovolent ruler, allowing me to attack Crimea directly) and a little bit beyond the Caucasus (with Georgia and Biapas holding onto the land), but it still took me until 1482 to get the last few provinces for the GH formation off the other hordes.
After that, I took the only officially sanctioned path and snaked towards India through Transoxiana (who broke free from Timmy, but didn't grow at all afterwards) and the Timurids (who dealt with the lost independence war pretty well and actually survived for quite a while despite my regular wars against them), while also slowly feeding Muscovy to Ryazan and Novgorod (which is such an amazing vassal for that region).
I started bordering Ming in 1610, at which point I was mostly done conquering India (Vijay and Mewar were still two wars large) and completely done further westwards - I did grab a bit of Arabia and East Africa while I was waiting for truces with Ming to expire, but Muscovy was completely gone and Persia pretty much secured, so I could do the "100% peace deal -> attack trib and WP" cycle with Ming very consistently.
And then I formed the Mongol Empire, completely wrecking my economy (I think my income went down by at least 60%) and denying myself the I'll Graze My Horse achievement, which caused me to take a little break from EU4.
Afterwards, I didn't really bother to play efficiently anymore - just eat away at Ming and a couple small wars elsewhere, but I actually had some peaceful eras of two or even three years!
Final note: It's kinda weird that you have to take Exploration for the Great Khan achievement, isn't it? i just took it at tech 22 (previous idea groups were Offensive, Humanist, Admin, Influence, Espionage) at which point it didn't matter all that much anyway, but it's still weird to me that you totally need those three uncolonized provinces in order to call yourself the Great Khan.