What I mean by this, is where four roads with different street names meet at a point, and they meet such that each road has a pretty obvious "straight on" to an opposite one, making it look like there's two crossing roads that just happen to change name at the same point. This could either be at a crossroads, or at a four-armed roundabout. A larger junction also qualifies if removing extra arms would make it so, as long as the removed arms don't share a street name with the four that are kept. Roads with only numbers do not count, every (kept) arm must have a street name.
Here's the local example I noticed that inspired this, where as a pedestrian all four street name signs are actually visible at once: https://goo.gl/maps/trP2FsUPGvsjwqCx7
When you look at this as two crossing roads rather than four separate ones, you get Barton Hill Way changing to Cassiobury Way, which is pretty understandable as the latter is effectively a cul-de-sac (one with two adjacent entries - not sure if there's a term for this), and Browns Bridge Road changing to Beechfield Avenue, which is the more surprising one but makes sense when you realise that Beechfield Avenue used to be a no-through road from its eastern end and was then connected up to it.
Then, while looking for counter examples I found this interesting case: https://goo.gl/maps/y9cDjnGke7bDEuUy8
The A380 changes name from Hellevoetsluis Way to Marldon Way here, and you'd expect the main roundabout to be an example, but no, the other two arms are both Preston Down Road (according to Google Maps at least - I haven't verified this one on the ground). But the tiny roundabout next to it does qualify, as Preston Down Road changes to Five Lanes Road, and Vicarage Hill changes to Vicarage Road.
Any more examples?
