Taken into consideration the simple nature of the game, I have to say, you have done pretty good job in making it have more than the core game.
As in, having different AI competitors to choose from, as well as being able to challenge your friends, and even having the daily challenge where everyone uses same dice and are playing against ranking spot.
When keeping the game to the default limitations, it is hard to see much more that can be done.
Only two things come in my mind.
First is to include some sort of tutorial option. However, I dont see much point in this, since you anyway figure it out eventually, but for me it did took a while to realise the things, especially strange part was that it took me a while to realise that second throw would add points to the previous one, since somehow I always forgot to check if points added, or second throw was completely separate points, as in, best of two rolls kind of thing, but I did suspect it to be that way pretty much right from beginning, just forgot to verify it until strangely far to the gameplaying.
Also the idea that if you get all the dice used, you will then get to use all 6 dice again, was something that took me a while to realise.
Also, the idea that ONLY 1 and 5 were point giving numbers was something that I missed for a while, and when I realised that, and realised the consequence, that basically throwin 2 dice is not as good as throwin 1 dice, since when throwing only 1 dice, you have 1/3 chance of getting to continue to throw all 6 dices, and even have a chance of multiplyin your points, compared to throwing 2 dice. After realising this, the game actually became much more interesting, since it felt I had much more meaningful choice in the game.
I never got 4 or more of the same kind, so multiplying never happend, but I played only 2 games, but main point here that it was bit boring in that it sounded like a lot of fun to be risking for getting those multipliers, and then in reality that is so rare an event, that you cant really use it as an option for a calculated risk.
So if going from basic rules away, I would add some more possibility to actually get the 4+ of the same, basically this could be solved in poker hand changing way, as in, you could choose to keep some dice on the table.
I am not much interested in these kind of games, generally speaking, but this almost was interesting even to me, and as I was thinking what would this need more to make me want to play this more, I think some sort of story mode, like just playing one opponent after another, and with some upgrade system.
For example, perhaps dices would start with just 1, 2, 3, 4 and 5 and 6 would be empty spots, and you could upgrade them later to contain 5 and 6. Or even upgrade to have more dice to throw. I think that would be enough to have me come to want to come back and complete the game.
However, dont misunderstand this. I think your game is excellent already. I am just not the target audience yet. But those changes, and I too would become the target audience. For I think that target audience already would really appreciate the play against friends, and daily challenge options.
Oh yeah, and perhaps custom game mode, where you can choose against how many points you are playing.
Actually, easiest way for a "story mode" would be to simply have opponent after opponent, but with different points.
Like first the easiest opponent, aim at 3000 point, then slightly more challenging guy, 5000 points, then more harder, 10000... until the ultimate 100 000 point challenge.
Oh, and I forgot to mention the other thing that could still improve this without touching the core. Add more "bling bling" to the points receiving. Like more points you get, more massive it looks like. Like get past 1000 points in one round and get some rockets firing, past 2000, even more rocket flying, 5000, big explosion...
Right now it seemed like points came the same way everytime, that whether I passed 100 or 10 000 in same round, the points were practically shown same way.
Having some increasing bling bling more the points you are getting, would make it feel like I got something more done and more exciting too.
Maybe even the "Roll" button could start more highlighting to increase the excitement after the pot at risk starts to be big enough to make it more exciting, it could even ask at some point with big enough points "Are you sure enough" to make the player again nervously think it again.
Or, maybe even give a chance that it shows first of the new roll dices and asks if you wish to continue rolling the rest of the dice, or stop now and keep half the pot.
Those are thoughts that came to me. But great job here. Seems to me like a very well done this kind of game, I assume that target audience loves this one. Unless it is missing something crucial that only target audience would know to be missing of course.





