Just reading through all of this - awesome stuff! Things I (personally) would add onto this list:
-A small jeweler’s vise (and/or panavise) - makes it super easy to work on smaller boards, and works so much better than a cheap set of helping hands. A jewelers vise can clamp to your desk so it won’t move around at all.
-a fume extractor & safety goggles - safety is #1!
-a small steel dental pick. Sometimes I’ll get stuff stuck in holes on boards and it won’t come out with a solder sucker - sticking a very small, thin dental pick into the hole can push it right out.
-an anti static wristband, if you’re paranoid
-one of my favorite things to use - a DIP removal tool of some sort. I use an iFixit metal spudger - it happens to be the exact width of a DIP and works wonders for either getting them out of sockets or just removing them from boards. Slide it under the chip and just lift.
-one more thing that isn’t a necessity but is definitely useful (and something I’ve seen in your other posts) - a soldering microscope. But - those can obviously be very expensive! Instead, I actually use a document camera (like the ones your teachers may have used if you were born any time later than 2000). They’re still not super cheap but can be had for much less than a microscope on eBay or equivalent. I found mine in a trash bin & it does 12x optical zoom + 8x digital, which is more than enough for almost any soldering I have to do.
I can attach pictures of my tools as well if need be - but for time’s sake I haven’t done that yet. Now… I’m off to go buy some liquid flux, lol