Now that I have all the puzzles complete, is there more to the game, or is it finished???

There has been a lot of good discussion about that topic in the forums. Here are links to some of the threads:

look here
and here
and here
and here

I have 5 completed villages. You need to check on them daily and micromanage things. Make sure you are getting doctors trained. I usually get one major event a day and you will need doctors if you have a mass sickness. Also, I had no one trained as breeder and when I opened one village half the people had died and no one was making new babies!! Had to have some quick visits to the hut to restore order:)

So you can still have things happen and need to keep an eye on your villages (especially if set on hard and running normal speed)