Sportacular is pretty good for keeping up with scores. I didn't like the ESPN app.
The ksl app lets you listen on your phone, which is nice.
Mint-Lets you access your bank account info and do minimal budget stuff. I use Day bank for my home budget stuff, but I'm not sure if it's the best.
ExpenseTracker-Good for business related expense stuff.
Other than a few games, I don't use many apps enough to recommend them. Facebook, Pandora, Yelp, the occasional Netflix, etc. They all work, which is all I care that they do.
For the most part a smartphone is a Swiss army knife and most of the apps are like the knife's version of a saw---pretty good for taking care of small jobs here and there, but terrible for real work. There are a lot of good apps if you think of them as Swiss army knife tools.