Neil Williams wrote:

I've seen bus overtaking lanes installed in a few places, including in
Milton Keynes, bizarrely with one of them being installed where there
is no actual bus route! (Presumably for future expansion as the road
works were being done anyway). However I've not seen an
overtake-and-turn-right, despite there being *loads* of places in
London where this would be easy to implement and very useful.

There is one in Bloomsbury Street approximately opposite Bedford Avenue.
From here on the bus lane is on the right side, ready for the turn into New
Oxford Street. I think it used to work okay before the bendies, but bendies
usually end up stretching across all three lanes here.