Here in the UK, my Barclays Bank app allows me to scan checks on my iPhone. No more going to the bank for that!
The only problem is that it is usually my wife getting all kinds of cheques, and she somehow cannot manage to do it. So I have to do it all the time. And it's a bit tricky when the checks have been folded. She folds them all so they fit in her purse :-(
In the UK, I get my paper bank statements every month. However, the Barclays Bank app actually has _all_ statements of the last years available in the app.