Barclays in the UK is reasonable. They have a stupid long number as a "membership" number, but you can retrieve that online with a few personal details I can remember.
The security is then a password (select 2 letters using drop downs) and pin with an optional 'calculator' based using your debit card (not helpful if you don't have it with you though).
Once inside the features are good. Repeat payments are simple. Paying to a new provider who is a business is pretty easy with their search function. The statements are alright although I wish the display options were a bit better, and included a search for specific transactions. It would also be good if they made more than 3mo of statements available (like, DB sharding, hello!).
Finally while they do export to a few formats that have allowed me to update iBank on my Mac I wish it were possible to have something automagic that didn't require me to login in by hand at all. Possibly that breaks banking regulations in the UK, though.