Yeah, BBC2 only needs minor tweaks - a new trailer endboard and a change of logo position on the idents (center it, the retro idents they brought back weren't designed for a corner box). But BBC1 does need a full refresh. The mirror globe is the only BBC1 ident that's lasted longer, and it had it's colour scheme and wordmark changed a couple of times. Even when taking other channels into account, the only other UK idents to last longer would be Channel 4's launch package, which lasted 14 years, and some of the 1970s ITV idents (quite a few launched for colour in 1970 and were only replaced when CGI came along in the mid 1980s - Border's lasted all the way up to the 1989 generic package, Thames's almost as long).
Besides the 50th anniversary celebrations in 2014, budget cuts have actually allowed BBC Two to bring back their 1991 - 2001 presentation, albeit remaining with a tired endboard, Network only bringing back a selection of idents and the teal box spoiling the nostalgia as a whole. If Network would bring back any idents not shown now on Two, Optics, Paint, Aerial and Wave Day/Night would get my vote personally.
BBC One does need a new refresh, in this day and age. The Circle idents are fast approaching the 10 year cycle, and it's becoming a tired format for the BBC to retain. If budget cuts caused Two to retain its older presentation, I don't think the same will happen to BBC One, considering that it's well funded. If it does though, bring back the balloon.