Miyuki have recently announced that a number of Delica colours will be discontinued by the end of this year. The full list is available on their website.
Unfortunately, two of the main colours for the Saturn Box are on this list, with no suggested alternative: DB 1456 Silver Lined Light Taupe (the light grey used as colour C in the tutorial) and DB 1458 Silver Lined Light Honey Opal (the main pale yellow “Saturn” shade used as colour B in the tutorial).
After spending a lot of time going through a huge number of possible alternatives myself I’ve managed to find an almost identical replacement for the pale grey and two possibilities for the pale yellow.
For the pale grey DB 630 Silver Lined Light Taupe Alabaster is an almost identical replacement.
For the pale yellow there doesn’t appear to be any similar silver-lined colour available. There is a slightly darker yellow available, DB 2186 Silver Lined Duracoat Vinho Verde, but in my opinion it’s a bit too bright. A better colour match is DB 2364 Duracoat Opaque Dyed Moth Wing, and although it’s a not silver-lined I think it’s a good alternative.
Here’s a comparison of the two options with the original colour scheme:

Here’s a comparison of just DB 2364 and DB 630 to the original:

And here’s a comparison of just DB 2186 and DB 630 to the original:

Hopefully Miyuki will add true replacement colours to their range in the near future, but for now there are some reasonable options at least! I’ve updated the tutorial on etsy to include these suggested alternatives.
I like the 2186 combo
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