I haven't used the Flash IDE for developing graphics for so long, that some of these tools would never be necessary for what I work on...
I am sometimes in the same boat, especially when I work with Unity3D (where 3dsMax is more my IDE for asset creation). But these tools are no way intended for just flash developers, like the animation sheet tool for example supports also animated GIF animations - not just SWF's. The sprite packing and extracting tools on the other hand are what I use for Unity when I need UI, billboards or sprite based things.
I also use them if I work with other artists together to extract their sprites that they drew on a canvas (PNG sheet for example) and I can split each individual item as a separate PNG image.
I have a suggestion for extending ani sheet to be able to cut up sprite sheets into individual frames. I've made my own tool for this in the past, but it'd be nice to include in this shoebox.
Yes me and a co worker had an idea for that as well, but it would work best if within the filename a naming convention would already exist, like something indicating how wide and tall a individual frame is, or if its a one row animation strip how many frames it has.
e.g. fireAnimation_112x63.png would indicate that a particular frame is 112x63 pixels, figuring then out how many frames there are is easy.