I've been wrestling with this for a while, and still haven't found a solid method. I work with a team who illustrate/animate a lot in Flash. Then I those illustrations/animations are brought into After Effects, where more animation takes place.
Trouble is, there isn't a simple Flash to After Effects work flow. I've found I can export SVGs from Flash, then save those SVGs as AIs, and bring those AIs into AE. However, stroke width seems to get lost in translation. I've tried breaking apart the layers in Flash first, but it still gets messed up when I bring it over to Illustrator.