I don't have any games on my phone as I don't want my kids playing with it too much (I don't want them to break it) but I have a lot of apps that make being a Mom much easier. I use the Blogger app a lot, to write on the go and then I edit or add links from my home computer.
Cozi is my new favorite. Last year I would complain to my husband that I never was able to take time to myself as I didn't have access to his calendar. Now we have a family calendar on Cozi and he puts any evening or weekend appointments on it. I've added a couple of "Mom's Day Off" to it, and plan to try for at least one a month.
SplashShopper is a good grocery list app, but it was better when it was on the Palm. Still it saves all the items you have bought in the past so you can just check off items as needed instead of having to rewrite it every time.
Pinterest is a new favorite. It's great for recipes, crafts, decorating ideas, things to do with the kids, and just something fun and inspiring to look at when waiting for kids at pick up.
I'm always on the lookout for new apps and wish I knew how to program because I have an idea for one that would make life easier. I would call it "onestopshop" or something like that. My kids are pretty good about coming with me to run errands but their patience wears thin the more times they have to get in and out of the car (as does mine with all the buckling and unbuckling). With this app you would enter your errands, and then it would find the strip mall where you could do the most (or all) of your errands in one place. For example, if you need to go to Target, the supermarket, Bestbuy and a bookstore - would you rather drive to 4 different places or go to one place get one cart and hit all the stores in one go and be done with it. I'd even be willing to drive further if it would make me more efficient. At this point I know what stores are at most of the strip malls around me, but it took a few years to figure it out.