Mine goes randomly too. I think you can fix it by going to the scroll bar and selecting one of those.
"Go to next ready game"

I've observed this as well -- I don't think it's exactly random, but it seems to group games based on whether they're regular games, tournament games or team matches and cycle through each game of one type based on remaining time before moving onto the next category.
My guess is that it simply retreives the games from each category intependently, sorting each as they're retreived as opposed to sorting the games as one group only after all of them have been retreived. Should be a relatively simple fix if that's the case.

I thought i went like this, but didn't do deep analyses
When i select the first game to play in the status list under the 'view' colom then after the move it goes to the next on top of that list, but when i select a game in the yellow alertbox it goes after the move to the next in line of the same catagory.
I have now no moves to play, but will try to analys that over the next few days/weeks.
If others do to, we will know it soon

That is what i never do, lol.
I start always from my online games page, and normalily the first one (lesser time) and i got the feeling that it works fine from there.

RESPONSE TO #3: If you have more than one ready game there is a scroll bar under the messages box. Usually it will say "Go To The Next Ready Game." If you scroll down to another one you should find your solution.

I had two tournament games ready and one unrated game. I moved in the first tournament game, then it took me to the unrated game. What's up with that?!

Here some tips for saving some time. Maybe it will help a little for my young friend Kacparov although I don't know if you have so many games
Tip #1: Wait till your opponent is off-line before making a move. This will save you about 3 hours on average. Mostly your opponemt will not be online for ea few hours
Tip #2 Take time zones into account. This can save you up to 8 hours a move. Explanation: Wait till your opponent sleeps before you make a move. Meaning if you live in Europe: make a move for your American opponents in the morning, when they are likely sleeping. Make a move in the late afternoon/early evening for your Asian opponents and a move late evening/night for your European opponents.
Tip#3 Make some easy moves first and then return back to think about the difficult moves
This in all can save you valuable time, not for your present move but for the time you have to make your next move.
In my opinion "go to next ready game" should make you go to the game with the least time left. It's been like this most of the time, but recently instead of going to the game with least time, it goes almost randomly. E.g. I have 20 games with 5 hours left, I move in one of them, and it goes to a game with 8 hours left. Sometimes even from a few hours it jumps to 5 or 7 days. It's really annoying and takes a lot of time as after every move I have to go to my main page, click on the next game, go back to the main page etc. etc. Is there any way it can be fixed? Is it a problem in general or only in my case?