Here's my list of tools. I and not any sort of expert and by no means claim it's the best, but I've been able to do mods successfully with it!
I think that's most of it...
If I had to do it over again I think I would buy this kit
https://www.esslinger.com/watch-repair-deluxe-watch-tool-set/
It has basically all the useful stuff short of a cheap amazon crystal press!