I've been using a KODAK EasyShare CX7530 5.0 Mega pixels which is not only very simple to use, it takes wonderful pictures. And it does have an ACTION setting amoung the 6 different settings....plus the Video setting.
I had gotten it as a gift from a friend along with the port it sits on that connects it to my computer...so I don't know how much it had cost but she knew I needed something that would be very, very easy to learn. I had owned others which I bought, returned or gave away as they were way to frustrating and confusing for me to learn.
Go to a camera store, look at them all, ask the sales person questions about them....mark down the name and model numbers of the cameras you like.. When you figure out which camera you want, and are ready to buy, check out the prices on line first. Each camera company has their own site....and then check them out on e-Bay.com.