1939, going for the pyramids

And in how many turns?

You already have the answer: Japan 1939, no need for PMI. I will spilt this down in pieces:

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1939 leans toward Axis, a lot easier than Allies for that year (1943 is the opposite). Germany and Japan have a huge amount of generals at the beginning for you to use plus your own generals (but you start with almost none of your own generals and you don't need to purchase one yet). Japan is easier to finish inder 65 because there's less enemies surrounding you, but you CAN'T just sleep. Every turn should be used wisely to make good progress. Like bringing some reinforcements, or a push to grab a city, or to cut down some enemies if you need to reach a city.

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You might want to expand from China/Mongolia toward India/Thailand then Saltingrad and take over Russia from there.

While you're in Europe, if you're already gaining 1,000 to 2,000 gold per turn or over...you can save up 3,000 to 4,000 gold then take over every connected airports much as you can in one turn.

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Good place to take Africa from is taking Cairo from Egypt then the East Africa and Central Africa is taken easily from the air too. Make sure to produce some Armored Cars from Cairo, they have a strong bonus against infantry defenders.

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You will have to learn how to invade the North America continent effectively with a group of armies plus battleships/carriers/whatever fleet support.

If you're invading from Ireland (after you killed UK), aim for the Canadian shore east of their cities and use their cities as a base against NYC and DC.

An invasion from the Pacific works better going from Japan aiming for Alaska or Vancouver (after you made good progress and took over China). You can't really produce a lot of good troops from Anchorage, so the tanks,armored cars and MI will have to come from Japan and cross the Pacific to Vancouver and spread from there (don't waste a lot of troops going north to the little Alaskan city). Push hard for all of California.

Ireland to Canada, Japan to Anchorage/Vancouver: Those two are the best ways to invade America if I assume Spain didn't fall apart. If you need to reclaim Spain from American troopers, Spain can serve as a launching point to an invasion of Florida for you. But I hope Spain doesn't collapse and waste your time.

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Remember, for the Axis side, the hardest city to capture is Brisbane where Blamey is.

A cheesy tactic for Japan (but it works well if you prepare in advance): Don't forget to capture the Hawaiian Islands early, then produce a few air carriers from there, move it toward Brisbane (but not too close!) Use the air carrier(s) to continually bomb Blamey's HP down to zero and kill him without getting hurt. Once he's dead (and you should have already taken over Thailand/Indonesia and Western Australia during that bombing each turn), use the leftover troops from Western Australia to take Brisbane, Australia defeated, move on to America and bombard San Francisco or Alaska, but SF is still a good target, just don't expect to be able to cross the Colorado mountains quickly to reach Denver without Motorized Infantry or Armoured Cars.

And you call it guide for beginners: Every turn should be used wisely to make good progress. IMHO beginners are those, who don't know, how to use every turn wisely and also there isn't said anything about no need for PMI. They save at least some 3-4 turns when crossing America and some 5-6 turns on the way to Moscow. I even don't say how much money/time they save when you just launch paratroopers around the city instead of bombarding it ar launching there light infantry.

Quintus Fabius , Desophaeus , How about this, set up a tech rule for most countries:
1939: lvl3 inf&tank&arty&navy&air, all +10 wonder.
1943: lvl1/2 missile.
1950: lvl4 inf&tank&arty&navy, lvl5 air, lvl2 nuke&missile, +20 gold.
1960: lvl6 air, lvl3 missile, +20 iron.
1975: max tank, lvl8-10 inf&arty&navy, lvl6 missile.

I know you guys have already pretty much set your mind into stone, but I think Allies is 20x better for getting less than 65 turns. Great Britain is one of the easiest ones in my opinion. Also, I think the pyramids require you to be an ally.

The point is just to get under 65, not necessarily the fastest speed run, but the easiest speed run which points to Japan for two reasons: Axis is easy, but also easiest Axis country to deal with Blamey in Brisbane.

I understood that part. I mean that it's also likely that a beginner probably could achieve the pyramids with far less resources (gens, wonders, techs) than the city of Cuzco and with even less expertise in WC3 tactics. Probably.