Just messing about:
Another ‘Anime’ Who (inspired by an old book cover where the artist didn’t know what the TARDIS looked like & assumed it was an ordinary phonebox)...
Here’s the art I suspect you are remembering. (Took a bit to track down the slideshow page I saw several years ago.)
Here’s the root link if anyone wishes to explore the whole site.
Click the arrows to see the interior illustrations. The Daleks are shaped more like smooth dome capped bullets coasting upon a large “ball” mounted within their bases. Also, their eye-stalks can twist around like a goose-neck lamp.
This reminds me of something else. In 1697, Toho collaborated with Rankin-Bass (yes, the studio that made all those puppet animated holiday specials) to produce a film titled in English ar “King Kong Escapse”. In a nutshell, Kong, roughly the size of Godzilla, is pitted against a robotic duplicate of the great ape. This mechanoid is the creation of a villain called, I kid you not, Dr. Who, alternatively spelled Dr. Hu depending upon the material referenced. Here’s how he appears in some scenes…
Obviously, while not exact, that ensemble with the pill-box hat reminds me of William Hartnell’s entrance, when he returns to Foreman’s junkyard and encounters Susan’s teachers. Speaking of Susan, Dr. Hu in the Toho film also has a granddaughter in her late teens. Was it an homage? Eh, I doubt it. The now iconic BBC series was only in it’s fourth year and probably all but unknown outside the UK. But the coincidence IS rather bizarrely funny!