A good search function would indeed not be superfluous, but I would also like to see it in the app. : P
Furthermore, it seems to me quite relaxed if you can generate some statistics, just like in bunqDesktop, but I would also like to see that in the app, hehe. For bunq Web itself it might also be nice for some people if it is dumped in a wrapper for Windows / MacOS. If properly programmed, this can also be slightly safer than via any browser (with extensions). (But yes, on the other hand you can think: fork then bunqDesktop / take over that project and make it official.: P That would be a genius.)
I do agree with @JeroenE that actually all functions that the app has can come to Web; but with the caveat only for the basic financial functions as far as I am concerned. (Paying, accepting / refusing / canceling car collections, changing the bill etc.) It does not have to be very advanced, but all the basic functions in it would be nice. For iDeal, wmb must remain a second factor. (Device, email or SMS. Preference for the former or the latter, because email is really too easy prey for phising / password recycle characters.)
I am already happy that you can now block your pass online. Previously there was no option but logging into someone else's phone or sending an e-mail and hoping that something would be done soon. Then this feels better and you can take action faster if necessary.