I have the exact same problem. The turn button is active. If I hit it, the game does some ship movement. A greyd out "idle ship" info apears on the turn button and I can tab through that with the short cut. I actually can issue command to three fleets and upgrade a starbase. After that the game hits the "wait"-status described by MottiKhan. I too can only exit and have to kill the process with the task manager.

This is the save game (zip file):

https://drive.google.com/file/d/0B5rs6cCuHZS1bG8wa3U5eFVDb0k/view?usp=sharing

Ive had the same problem, even with 1.2. Theres a simple workaround: while youre stuck, just save your game, and then reload that save. Youll be at the beginning of the new turn you were supposed to be at.

Thanks for your reply.  I had actually posted that fix for 1.2, but this is different.  As I said in the OP, you can't save the game when it's stuck.  Also, reloading from an earlier save doesn't help.

I also tried disabling all DLCs and the game still stuck on that turn.  Someone else speculated that the problem might be with an AI ship that got stuck on idle.  I'm thinking that might be it, but I can't tell for sure.  Hopefully, they can fix it and the prior game will work.  Until then, I can't risk starting another game.

I can not save, the option is disabled. The only active options are "resume, options, retire, exit".

I checked all the ships like the forum threads regarding this bug suggested, but no luck. I also declared war on everybody - I saw my ships move and the AIs attacked my fleets ... but at some point the turn still got stuck. So I suspect an AI ship is the cause. (I repeat myself here from this this thread)

The game started with 1.2, the bug occured with 1.3 opt-in (no, opting out didn't help).

Also the game is stuck on "wait" and not on "idle ship" or something, so I guess it is stuck at some action the player does not have control over?

The only "workaround" (not much of it, actually) I found was to reload from a really earlier save, somewhere around 10 turns at least.

It worked! Thanks for that and +1 Karma.  I have my game set to autosave every 2 turns and the "previous autosave" was 4 turns back.  The last autosave didn't help, but the earlier one did and I'm past the point where the game locked up.

It still needs to be fixed, but at least you saved my current game. 

So far, since 1.3 became an opt-in, I've only played two games and I'm still on my 2nd one. Yeah, immense sized map with lots of AI and many turns to complete. In my first game on opt-in#1 I experienced this exact same thing. I was never able to continue with it. Once opt-in#2 came out I started my current game and have yet to encounter this. Hopefully I'll finish this game without issue or a fix and release will happen so I can finish it. It is a bummer that this particular type of bug keeps rearing its' ugly head after all this time.

I still have it with opt-in #2.

Understood. As does the original poster and others. I was just sharing my experience to date is all.

I tried to go back, but it didn't help. However, the oldest save was not very far back, I think like 4 turns.

Major bummer! This needs to be fixed.  At least with the 1.2 bug, we could save and reload while it was stuck, but this new one is a game killer.  I was lucky that my oldest save was old enough to get past it, but what if the next time it doesn't work?  I'm now keeping several older saves and it's a pain.  

At the very least, we should be able to set how many saves it keeps before overwriting them.

I hope they can fix your game.  Just a thought - did you try going back to 1.2 and then reloading the oldest save?  I don't know if it'll work, but even a small chance is worth shooting for.  (I know you went back to 1.2, but not sure if you tried the oldest save at that revision.)

Sorry that you came across this stuck turn issue.  I've passed on your save game files to the dev team and we are taking a look.  

Thanks, pshaw.  And +1 Karma.  

it needs to be further than that.  I don't know what's causing it, if it's my decisions or something the AI does.  All I know is reloading a save made way earlier, around 10 turns before the "stuck" (maybe more), it worked for me, twice.  I lost 20-30 minutes of gameplay, I think, but it worked.  Autosave and previous-autosave generally don't work as they seem too soon.

If you need more saves, take a look at ticket #PRX-868-82980.