Greetings!
This is my build order versus the Ottoman rush with France:
-Task all Coureur des Bois on Food
-Queue a Coureur des Bois no later than 0:09
-Make a house
-All Coureur des Bois on huntables
-Queue in total of 6 Coureur des Bois
-Send 3 Coureur des Bois card
-Age up with 400 wood politician no later than 3:20, aim for 3:00
-Shift 6 Coureur des Bois to wood in total of 8 on Food and 6 on Wood
-While aging, build a market
-Research Blunderbuss, Great Coat and Gang saw
-When you reached the Colonial Age, task 3 Wood Coureur des Bois on wood crates.
-Build 2 Barracks and a house(you have enough for a second Barracks since your 6 Coureur des Bois was cutting wood when you were aging to Colonial)
-Set your 2 Barracks on a hotkey, preferably, F5
-Send 8 Crossbowman Card
-Queue as much Crossbowman as possible
-Also don't forget to keep a steady Coureur des Bois production
-By the time they attack, use the hit&run tactic versus the Jannisaries with your Crossbowmen(you should have in the very least, 13) and use your Coureur des Bois to help if you are desperate(since they are upgraded)
-If they have Abus guns attack them with your Coureur des Bois, your Coureur des Bois has 2x versus Artillery
-If they only did a standard Jannisary rush, it will be easy to handle, once you repelled the rush, expect Abus guns and make a Stable and start training Hussars.
-You should have 10 Coureur des Bois on food, 10 on wood and about 5-10 on gold
-Send 4 Coureur des Bois as your third card
-Remember to keep a constant production of Coureur des Bois and Crossbowman, you will be surprised on how many Crossbowmen you can obtain with 2 Barracks
-Also don't forget to herd your huntables and reach the Fortress age if you can
-A note, don't Fast Fortress versus Ottomans, it's suicide, queue Crossbowman like crazy and use hit&run versus Jannisaries
-If they do Janisary and Abus gun mix, try to lure the Janissaries away from the Abus guns and attack the Abus guns with your Hussars(Scout properly with your native scout in stealth mode to see what they are making
-Remember the rest are up to you, always adapt to what they are making and counter their units accordingly, don't forget to start being aggresive after you've beat the rush, remember to try and take out their forward base and raid with Hussars, or you can build a Barracks close to them and make around 20-30 Pikeman and attack their Town Center(since Ottomans usually don't have defense at their own base because they usually make a forward base, thus leaving them vulnerable, don't forget to kill his Explorer when you can and wall him in, so if you've killed the Ottoman's Town Center and walled in his dead Explorer, his economy will fall behind), don't forget to also keep up a good defence at your base, remember that the French have one of the best Colonial Economies, even under pressure of a rush.
I hope this helped, this is what I usually do versus the Ottoman rush and I almost never fail.
Unfortunately, I don't have a rough build order to counter Sioux and Iroquois rushes, but you can try using your tough Coureur des Bois to fend off the rush(make sure you at least have Blunderbuss and Great Coat, ship Pioneers if you think you'll need it, also keep in mind that Coureur des Bois have 40% ranged resistance).
Again, I hope you will benefit from this and I also apologize that the whole paragraph is cramped togethor and if I've made any Grammical mistakes.
Best Regards,
Watson