Now that Germany is out of the way, time to take a look at Britain, who can be said to be France's real enemy. Long post this time, blame the fact Britain's empire is so big.
Compared to Germany, which after losing the Rhineland and Hitler in a donkey punch and being forced to toe the line regarding their military, they were quickly knocked out and balkanized after foolishly joining WW2. Britain is a much harder nut to crack though. The waves protect the home islands, and the Royal Navy does what the sea cannot. The most obvious and immediate war aim then, is to 'punish' the English for their betrayals, with the intention of using this to force a peace. Lots of bombs are gonna be dropped on both sides of the Channel.
Of immediate focus is humiliating the Anglo-Saxons and forcing them to pay reparations to France for the damage done, and also weakening them.
Territorially the realistic concern is the Mediterranean. The English have no rights to be in France's sea, so they must be removed from there. Gibraltar and Malta must both fall. The French SS, if they see themselves as heirs to the Military Orders of old would particularly be interested in Malta. Gibraltar is strategic but could perhaps be trusted to close ally Spain, assuming they're a close ally.
The Suez Canal will definitely be owned directly by France. As for the rest of Egypt there would probably be little interest so they could probably remain a puppet Kingdom. Except with this time France doing the puppeteering. If Italy is allied Egypt would probably be thrown to them as a bone, although the Suez will be French.
As for the Middle East, France has historical interests there. The Anglo-Saxons fancy themselves the rulers of Outremer, Le Renard's Corps de l'orient will soon show them otherwise.
Outremer would probably be annexed to the French State directly. Cant think of how a Second Kingdom of Jerusalem would work. Lebanon could receive the same treatment in administrative reforms, while the Syrian mandate will probably be protectorated, although no longer a mandate anymore really.
To the east of that is Iraq. Probably of minimal interest to France as a wargoal. Iraq is associated with the Sassanids and Parthians, while Nazi France sees itself as the heirs to the Roman Empire. Unlike the Nazi Germans, France's focus is in the west rather than to some 'Aryan' bloodline in the east. Militarily it might be necessary to attack Iraq to neutralize the flank it represents, and if Iraq defects to France like they tried to do for Germany OTL then hey, no reason not to accept them into the alliance.
England's last Mediterranean possession is Cyprus. Its claimed by both Greece and Turkey, and can be used to woo ether to France's cause. It also has Crusader ties however, opening the possibility of it being annexed to the French State. Pick which ever one floats your boat i suppose.
Finally France will of course seek to liberate its historic allies of Ireland, Wales and Scotland. And Cornwall due to its close ties with Brittany may require direct annexation to France itself. This aim however is most likely only existent in the dreams of foreign volunteers in the French Legions and the delusions of Le Chef.
The cause of Quebec might also be picked up, but it appears as unobtainable as the above.
Thats what i got for the war against Britain. Racial wise, i think Remicas has the Anglo-Saxons covered. The bastard mix of Germanic Saxons and Anglos. Not sure whether they would be worthy of genocide or just contempt. The former is probably unfeasible politically though.
The Scots, Welsh, Irish and Cornish are ethnic cousins of the French like Remicas suggested. Therefore they hold a special place in Le Chef's heart.
Arabs are kinda interesting. They're seen as cunning traders (old stereotypes die hard) and are 'ethnically suited' for life in the desert. Left to their own devices they'll achieve nothing but uncivilized 'mongrel' culture. Certain groups like the Algerians however possess the potential to be 'uplifted' and have formed ties with the French race by virtue of brotherhood through shared blood. Or something like that. Some kind of BS propaganda like that. I figured Algeria would get a special spot on French doctrine, allowing French Algeria to be 'Gaulified'. Similar exception may or may not be made for Outremer.
Black Africans are just seen as shit though. They get the Congo Slave Train.
tl;dr version for War Aims against Britain
-Reparations and Punishment for the Anglo-Saxons
-Ejecting the English from the Med
-Malta, Gibraltar, Cyprus
-Suez Canal control
-Outremer annexation
-Puppet Egypt
-Ally Iraq (not exactly a war aim)
-Quebec Freedom (lol no)
-Liberation of Northern Ireland, Wales, and Scotland. Annexation of Cornwall.
Any thoughts?