Ok, here's my preliminary plan. There's a number of differences from Han's plan from before. Commentary welcome.
Munitorum
SLOT A - Year 2
-Y2: Hyper Advanced-Juv Nat: Veterans
-Y5: Hellord Regiments
SLOT B - Year 2
-Y2: Lessons Learned: Orks
-Y3: Recruit
This seems like a good set of things to me, so taking it from Han's plan.
Administratum
SLOT A - Year 1
-Y1: Underground Railways: Azure Islands
SLOT B - Year 1
-Y1: Expand (Yphax) to Small Hive
SLOT C - Year 2
-Y2: Administrative Shake up
-Y4: Administrative Shake up
For the Underground Railways to the Azure Islands... well, we need the Thrones in the long term. A 5% boost across the board is a big deal, as is a 40% boost for the cities in the Azure Islands.
Get one hive upgrade. Choosing a city in Elysium, because that should hopefully mean more food production from there.
Continue trying shake ups, which will also leave a slot for us for new actions next turn.
Diplomacy
SLOT A - Year 3
-Y3: Investigate: Blood Dragons
We should not trade for runes this turn, as we are still likely to have a higher than normal number of cultists since the taint isn't completely cleaned up yet. We'll have more to trade with if we wait a turn or two, so let's not waste an action on that yet.
Arbites
SLOT A - Year 1
-Y1: Focused Psyker Hunting
-Y2: Security Review
Need to do some psyker hunting so that Jane doesn't lose her edge.
AdMech
SLOT A - Year 1 (Explorator)
-Y1: Examine: Vortex Grenades
-- DOUBLE DOWN YEAR 1
-Y2: Gravatic Engines Part Two: Repair
-- DOUBLE DOWN YEAR 2
-- REPEAT IF FAILED (and use Double Down)
-Y5: Reverse Engineer Component: Gravatic Array
-- DOUBLE DOWN YEAR 5
SLOT B - Year 2 (Biologis)
-Y2: Complete Examination (Tyrant Lizard)
SLOT C - Year 2 (Fabricator-General)
-Y2: Expand Forge-Hive: Erecura
SLOT D - Year 1 (Free)
-Y1: Hyper Battle Cruiser Design: Super Lance
-Y3: Hyper Battle Cruiser Design: Ragnarok Cannon
This is more aggressive than Han's plan, but I think the success chances are good enough that it's ok to do it this way. Vortex Grenades have a good chance of success, but no big deal if they fail. Gravatic Engines to fix the Well of Urd. And the Gravatic Array to fix the other command battleship we've got sitting around. (note that all of these have a 10% greater chance than listed, due to us getting a better bonus since the options were first listed) Also design a couple ship types.
Biologis studying Tyrant Lizards. Remember that laser using asshole that nearly killed Aria? Yeah, we want our psykers to learn how to use laser powers, Avernus Style. This is the first step towards that.
Ministorum
-Y1: Those in the Shadows
-Y2: Those in the Shadows
-Y3: The Power of Faith
-- DOUBLE DOWN YEAR 3
Some help replinishing our psykers while we wait for a double down, and then Power of Faith with the Double Down.
Telepathica
Slot A - Year 1 (Ridcully)
-Y1: Valinor Campaign: Support
-Y2: Cheating
-Y3: Fanning the Flames
-Y4: Research: Immaterial Resonance
-- DOUBLE DOWN YEAR 4
Slot B - Year 1 (Xavier)
-Y1: Valinor Campaign: Psykers
Slot C - Year 1 (Aria)
-Y1: Siren Rune of Banishment: Black Irons
-Y5: Valinor Campaign: Support
Slot D - (Free Divination)
-Y?: Abbadon's Chaos Imperium
FYI, Valinor Campaign: Psykers takes as long as the campaign, not 1 year.
@Durin had a double "Time" point in there, and the 1 year one isn't valid. Putting Aria on it.
I want Ridcully supporting the Valinor Campaign in the first year through his divinations, since that's when we'll be finishing their orbital defenses and we'll preserve more of our fleet with his help. Cheating on the Well's engines after that. Fanning the Flames to keep the Orks busy for a bit longer after that. Then, FINALLY starting Immaterial Resonance, because I know we've wanted to start that forever but haven't had the time.
Xavier will lead the Battle Psykers through the campaign. He's the best option for it.
Aria will equip the Black Irons with the Banishment runes, which will help the campaign. Then she can assist with the campaign itself.
Personal
SLOT A - Year 1
-Y1: Personal Attention: Valinor Campaign: Middle of the Road
SLOT B - Year 1
-Y1: Personal Attention: Valinor Campaign: Naval
SLOT C - Year 1
-Y1: Chain of Command
-Y2-3: Spend Time With (Syr)
-Y4-5: Spend Time With (Jacob)
The campaign stuff is obvious.
Chain of Command to get the sheet for our new Marshal.