I answered woodcutting. My reasoning is that it is used in the skills of Carpentry, Blacksmithing, Tailoring, and Cooking. Cooking being the most used 60+ level craft, IMO.
Mining is used for these: Tailoring, Armorcrafting, Blacksmithing, and Alchemy; and while cloth, other armors, and weapons are not dead, lvl 60+ alchemy is a joke at best: hp and mp pots. Hero Pot at lvl 47 is the best alchemy pot available in the game, no master required.
Herbalism/Extraction is used in the crafts of Tailoring, Armorcrafting, Cooking, and Alchemy, so it is another viable choice mainly because of cooking, I would prefer not to have a dead craft be one of the ones I support.
Just my opinion, YMMV