Ah, yes. The "Rush" strategies. The first one I recall was the Russian "Tank Rush" way back in "Red Alert".
In MOO2, the quickest victories were in the smallest galaxy, taking Telepathic, rush building/buying a cruiser (just big enough for telepathic takeover), and getting to the home planet of a production-oriented race before that race could defend itself.
In DA, the addition of the Extreme planets made a great difference, IMHO. As long as there are races in the game that begin with those special colonizing techs, the player cannot easily out-expand those races. If the player takes one of those races and the other is not in the game, the player seems to have it easier in the early colony rush. SEIV consistently achieves the effect by making each race choose a starting atmospheric environment.
I'm playing the largest galaxy, all abundant (and scattered), the max AIs, and the max minors, SLOW tech. I've worked up to the level just above "Tough" and it is beginning to seem repetitive. Initial expansion, grab what mining bases I can, run down the research tracks to stock exchange and manufacturing centers, picking up a few other improvements along the way, throw out an extra few survey ships, change gov't once or twice, then dive into Extreme Colonization hard. My intent is to get enough economic base to fund the next colonization wave, starting with the types no other race seems to be colonizing. In some games, that's all 5. So, as the Banks or Stock exchanges get finished, the colony ships start building.
Sometimes I have to bribe a race into a war or two to buy time but, once that second colonizer wave is launched, the game is essentially over due, in part, to planet flipping. The thing then is just to choose which victory I want for that game.
I'm guessing that the higher difficulty levels will give the AIs enough bonuses that they are able to better contest in the expansion phases and/or turn on me before I get that second wave of planets built up. The AIs already are getting Invasion before I do, but seem still unable to mount an escorted invasion soon enough. I suspect that will change.