While I understand that there are a lot of people into this project, and that it just started, so it might become something completely different in the future, I have found some problems with Cryptokitties that just make me not want to keep playing it anymore.
First of all, it's not a traditional video game. The kitties don't do much other than breed and look cute. You buy them, you breed them you sell them. This repetive routine would be enough for me to get bored with this game after a couple of tries, and those could very well be some fun playin sessions, waiting for the new kittens to get out of the oven and see how they turn out. Unfortunately that wasn't the case either. The game works on top of a blockchain, the ethereum blockchain, similar to steemit, but unlike this social network of ours, CK is very innefficient in how it handle transactions. It clogged the ETH network and made fees so high that paying the game became a cassino, where you would throw lot's of ether in it, and hope something good would happen; most of the time it just rejected the trasaction. Since breeding, buying and selling kitties are handled by ether transactions, the only things that the game did could not be done unless you pay a generous fee to the eth miners.

That is one point, maybe the most important point why I can't play this game anymore. I don't want to spend 100 of dollars in ETH justo to see my kitties family grow in a unoptimized internet collection game. People say these kitties are gona worth a fortune. Tell that to the thousands of kitties bred during the first weeks. Kitties are being sold now for prices smaller than the fee the gamedevs decided to charge for you to be able to breed one, and money is being burned in this bubble.
Some people might say this is a collectors game and that if you are not willing to pay to get in, it's not the game's fault, but I would point out that in collections and other forms of hobbies, there's always a beginer's level, where you pay some cents for some ordinary stamp, or catch a common butterfly, etc. On the case of Crytokitties, even if the kitties are worth cents, there will always be the transactions fees, making it too expensive for a fun casual session.
Momo, Pepe and Lala's offspring
Maybe I am being too harsh on the game, the first of its kind, a blockchain collector's game, and it can as well be the case that the gamedevs are now thinking in a way to make their product easier and cheaper to use, but until that happens, I don't think I will be playing it anymore.