CMG:

Anamorphic-but-pillarboxed movies, like, as you said, "older James Bond movies," are done that way because they were shot in the 1.66:1 aspect ratio, which is (obviously) in-between 1.33:1 and 1.78:1. The two options to display this are to letterbox it within a non-anamorphic 4:3 frame, or pillarbox it in an anamorphic 16:9 frame. The latter is typically the case, as most people watching it on a 4:3 TV won't notice the pillarboxing anyway.

I challenge you to find a 4:3 video pillarboxed in a 16:9 frame - the only example of this I'm aware of is the recent "Woodstock" bonus features (in that case I'm pretty sure it was a matter of downscaling the 1080p Blu-Ray video and not bothering to remove the pillarboxing).