From Sony:
Uncharted/Naughty Dog
Infamous/Sucker Punch
Gran Turismo/Polyphony

From Nintendo:
3D Mario/EAD
Fire Emblem/Intelligent Systems
Smash/Sora Ltd

From Microsoft:
Alan Wake/Remedy
Minecraft/Mojang
Gears of War/Coalition

RPGs and FPS games would all be multiplat I guess. I think I have a diverse enough lineup here.

I think it would go like this:

Sony:

· Infamous, with Sucker Punch. Infamous rocks, and Sucker Punch has talent when it comes to make enjoyable singleplayer games, so they're a nice developer to have around.

· Dreams, with Media Molecule. While I'm not sure the extent of the creative power of Dreams, I'm mainly choosing this one to have Media Molecule on board with my system. That company is extremely creative and such talent can't go somewhere else!

· Bloodborne, with From Software SCE Japan Studio. So not only I have an engrossing action RPG on my side, I also get to have such a supportive, diverse developer as the SCE JS.

Microsoft:

· Sea of Thieves, with Rare. I really don't care about Sea of Thieves, but say what you want about Rare. They made Viva Piñata and Kameo, both enjoyable games. As long as I take them away from Kinect, they'll produce some fun, interesting games, and I dare anyone try to say the opposite.

· Quantum Break, with Remedy. Haven't played QB yet, so I'm picking this off to have Remedy on my side. Bring it with your immersive thrilling third person shooters!

· Gears of War, with The Coalition. Because Gears of War rocks, that's why. A consistently amazing franchise overall, so now I would own it!

Nintendo:

· The Legend of Zelda U, with Nintendo EAD. Come to me, Nintendo EAD!

· Fire Emblem: Fates, with Intelligent Systems. Come to me, Intelligent Systems! That's two developers who have a huge track record on my side already. There's no need to worry about the software output of my system anymore, as long as I pressure them whenever its necessary.

· I guess Xenoblade Chronicles X, with Monolith Soft? I'm not interested in their Xeno output. Once they finish doing it I will push them to make new Disaster games!

All my choices, considering the catch this thread made, were made thinking more of the developer that come with it rather than the game itself, except for two.

Nintendo - this was the easiest for me. So many great series guided by some very steady hands. Had to leave out a lot of good stuff, like Donkey Kong, Mario Kart, Metroid, and Splatoon - the last of which I think has a bright future, even after only one game.

1) The Legend of Zelda (Nintendo EAD/EPD) - I trust Aonuma to keep making magic
2) Super Mario (Nintendo EAD/EPD) - a series that's consistently great
3) Xenoblade (Monolith Soft) - this satisfies my RPG lust

Sony - that was a little problematic for me. Wipeout and its studio are gone. Uncharted is at an end. I don't particularly trust Guerrilla with Killzone. Who the heck knows what's going on with Team Ico.

1) God of War (Santa Monica) - this series still has potential, and the rumors of a new setting give me hope
2) Jak and Daxter (Naughty Dog) - I still consider the original Jak to be ND's best game
3) Gravity Rush (Project Siren/Japan Studio) - the folks at Siren and Japan Studio are trustworthy

Microsoft - this was the hardest for me. I would normally pick Halo, but I don't have faith in 343 to deliver the goods. Lionhead is closed. Ensemble is closed.

1) Gears of War (The Coalition) - I liked what I saw in the Gears 4 beta
2) Forza (Turn 10) - I'm not the biggest sim racer fan, but this is one of Microsoft's more reliable IPs
3) Banjo-Kazooie (Rare) - Rare is 15 years removed from its glory days, but I just adore Banjo

So that's it for me.

Three platformers
Two action-adventure
One shooter
One sim racer
One hack 'n' slash
One RPG

I was thinking first party IP, first party studio.

Let's see here...

Sony:
Uncharted - Naughty Dog
The Last Guardian - Japan Studio/Team ICO
Infamous - Sucker Punch

Nintendo:
Fire Emblem - Intelligent Systems
The Legend of Zelda - EPD
Donkey Kong - Retro Studios

Microsoft:
Halo - 343
Banjo Kazooie - Rare
Forza - Turn 10

You need to state the rules, if the Franchise is elegibe after being created by the studio (after the purchase of the studio) or when someone purchase a studio all their franchises became First Party franchises, because if the franchise is only elegible when is made after the aquisition of the Studio so KillZone and Crash are not Sony's Ips, Gears of War is not Microsoft's IP and if i remember well Halo was purchased in the middle of the development.

Thought it was that but wanted to be clear as my 3 for Sony if it was just exclusive series wouldn't include any of their first party IP :)

Will type up my list shortly.

Whichever company owns the IP on May 24, 2016 and whichever developer is currently working on that IP.

So you must state it on the op (so it also includes Minecraft for Microsoft).

for Microsoft (in both companies i cannot chose the order).

Minecraft.

Age of Empire.

Gears of War.

For Nintendo.

Pokemon.

Zelda.

Fire Emblem.

For Sony.

God of War.

LittleBigPlanet.

Ico/Shadow of the colossus (i consider those games as a franchise, does it count as a franchise ?).

Sony: Gravity Rush - Japan Studio, The Last Guardian - Team Ico, Legend of Dragoon - Japan Studio.
Microsoft: Halo, Gear of Wars, Forza, i said these because i don't have interest on Microsoft franchies
Nintendo: The Legend of Zelda -Nintendo EAD3, Xenoblade Chronicles - Monolith Soft, Fire Emblem - Intelligent System