I know what you're asking, basically are there any equivalents or alternatives to the inductor choices that fall within the criteria of the datasheet and where i do humbly think, personally, that this info will further benefit ANYONE/as many as possible when they also read this answer, so not only for the original question post's author, but i surely hope everyone too, here goes:
So as per your "Inductor Selection" Snippet you used from the datasheet (AeroSemi?) for the Step down converter MT3608, which tells us the important criteria we need to search with, being an inductor of:
- Low Core Loss at 1.2 MHz
- Low 'DCR' for better efficiency
- 22 uH value
So i just went to Mouser UK (International Company & this is being used just as an example of how to search for one's own self, use whatever you feel comfy with) So search for the exact or close-enough characteristics of the inductor we need for these projects and I've found 14 results in the list after narrowing it down but only using what info is specifically in that Datasheet snippet above, here's 2 pictures from screenshots from me own desktop to further illustrate how to better search for exactly what you need and asked for, or be in the ball-park for better choice options than without these sort of searching:
And second picture here:
The actual results page of the Mouser web-search so you don't have to go through that yourself is here:
Mouser Results
Took me a WHILE to get this all down as I'm dyslexic so please do expect a few mistakes here & there by me, lol, but i hope this helps with component selection going forwards from specific data laid out in the manufacturer's datasheets to have a lot more options available to those whom love making their own PCB's
Now - sadly Mouser doesn't have that low an inductance inductor of 22 uH, which was the whole point of the searching, which is also quite darn-difficult to find for people INCLUDING ME, and as the results show, the lowest inductor in the searched results on that mouser webpage is 680 uH WHICH IS NOT WHAT WE WANT !!! (don't worry, this sorta stuff drives me crazy too, haha)
So on a different website, hopefully like Digikey, if you run this search again but on a different website for IN STOCK items only, then hopefully you'll have better luck, but the pre-ordering times are not really that bad for out of stock items, which if you do this search again on the 14 results page and INCLUDE out of stock items too, I'm sure we would get a 22 uH inductor (as I'm also BIASED towards liking SMD components more than Through-Hole (TH))