Hi!
Anyone able to confirm or refute this?
I just checked: tiny suicidal game, 9 AIs, cheats enabled. I revealed the map and checked homeworlds with my spy. A half of them had already 2 buildings BUILT, another half had 1 building built and another one in queue. Those with 2 finished buildings had the third building finished after I pressed the Turn button for the first time. To repeat again: they had 3 finished buildings besides starting Civ capital and Starport in the second turn.
I had to check another suspiction. I saved the game turn 2, and immediately loaded it gain. Guess what? When the turn was loading, I got the message that the Torians built manuf capital (that wasn't in the queue), and the Entertainment Network, that was in queue on their HW before saving, was BUILT! I saved the game again (still the second turn!), and loaded it. This time Iconians built the Manuf. capital, and most races had built the queued building.
So AI doesn't get just a free diplomacy turn after the game is loaded / started, they also get a free production turn. Every time!

...
BR, Iztok
Incredible! Thanks for the investigation, Iztok! And thanks to Sal42 for finding this to begin with. I'm surprised it hasn't been noticed before.
This might go some way to explaining how I see waves of colony ships from the AI very early in the game, when I've barely been able to build two colony ships. I know there are other explanations, but this helps add to the picture.
For now, the moral of the story appears to be NOT to save and reload in the first few turns. At that point you're giving a huge advantage to the AI. Later in the game, it's not such a big deal if they get an extra turn of social production, but early on it can be a game-changer.