Assuming all optionals on. Dice.
Egypt
On G1, Germany is a bit better than 2-1 (70%) to take Egypt. Aside from opportunity costs (those units fighting elsewhere) we have the cost of failure (30%). Simply put, it blows big time. At worst, Germany loses 2 tanks, 2 inf, 1 art, and 1 bomber, and fails to take Egypt (and kills some amount of British units, but not the fighter).
The consequences of such a failure, involving expensive units (including a German transport now vulnerable to a British plane) are dire, and for what?
If successful (the average result of the Egypt battle is for Germany to survive with 1 tank and 1 bomber, losing 18 bucks in units for 25 bucks in units, plus Egypt(2), for a 9 IPC gain). Denying the 5 IPC National Objective to Britain is only potential, given the 2 inf in Trans Jordan are a favourite over the lone tank in Egypt (54%, and UK could conceivably commit it’s bomber as well).
The success helps Italy no doubt, as Egypt is important to their economy. However, Italy can be in Egypt on Italy2 (close to forced).
Also, if the fight goes very well in Egypt, and Germany survives with both tanks, Germany can run all over Africa with them, and double team on the two British infantry, which would normally be a thorn in German expansion.
So, what are the costs in terms of opportunity? On G1, the German bomber won’t be blowing up British boats. A sub and a couple of planes at SZ 12 and SZ 2 is very tidy, whereas other combinations invite disaster (even if favourable) or cost planes in terms of hits (undesirable) or leave sinkable boats alone (unthinkable). The transport and Africa core can be used against the Russians (or to defend france, freeing up units there).
In short, do you want to risk what could potentially be the whole game on 70% chance of success, where even if you win (admittedly, it quite nice) its not game deciding, and you have other perfectly good and less risky options?*
Japan
Japan is simple. Expand quicky. Be efficient. Blow up china. Take India.
That said, it is very hard to generalize beyond that, because after J1 (very simple if you ask me) everything depends on America.
Russia
I like 10 inf first buy when Germany ignores Africa, and pulling out of Karelia (typically into Finland, but not always) when G goes North. If G goes for Africa, the pressure is slightly off, so a couple of tanks (or maybe a plane) and inf. I also like propping up China with Russia if Germany is not 100% focused on Russia. Such options become available when Germany attacks Egypt, or buys Navy.
The Rest
KIF?
I have no idea if USA can split it’s attention between the Atlantic and the Pacific. Perhaps it has to?
Hard game.
- if I was playing someone a lot better than I was, I would seriously consider going after Egypt.