How is BankSimple different from mint.com searching through my Bank of America account statements? Alerts? Goals? I can do all that in mint.
Also, since they're likely to be run much more cost efficiently than most banks, they should be able to do a lot of things without the normal gotcha fees.
Also, First Republic's site looks like something made with a table layout in the 90s and left alone since, so I doubt that they're doing anything innovative on the consumer facing side that requires any amount of tech expertise.
First Republic's web tools aren't going to win any design awards but they do the job and have never given me any trouble.