Chase has an iPhone app that lets you scan checks.
Only for small amounts. If the check is for a large amount (over $750? I'm not sure exactly what the limit is), the app will refuse to let you scan it in and tell you to go to a branch instead.
I imagine they also have a bank-by-mail option, which (I find) is useful if you don't go near your branch normally anyway and don't care about a few days delay in your deposits.
True, it'd be nicer to scan in the check (and not have the mail delay) but it's not a huge pain point for me to drop the envelope in the mail; so I haven't been to my bank's branch in 5 years.
Only for small amounts. If the check is for a large amount (over $750? I'm not sure exactly what the limit is), the app will refuse to let you scan it in and tell you to go to a branch instead.