Apart from that they're both much the same, and both leagues better than a normal bank. It's amazing buying stuff or getting cash out and the notification comes through on the phone before the ATM tells you the cash is coming!
Another good thing both have - you can switch off cards instantly. I thought i'd lost my Starling card when out last week, instead of cancelling it I just temporarily halted it until it was found.
What I do love about Monzo is their approach to development - they blog everything, even the outages. Good to see the process involved in making a new bank from scratch. I'm keeping the account as a scratch account but have already moved the direct debits from my old Halifax account to Starling.