I tend to stockpile a couple of stacks of raw material to re-level a Profession, but on my most advanced toon (a Warrior, though argueably my Holydin is catching up fast) I keep Mining for the Stam and because it allows to gather mats for BS, Engineering and especially JC (Healing Statues, golden in randoms).
As an avowed alto-holic, I park 'inactive' toons near a Vendor for the pots and stuff.
With Horde having only one really accessible one (unlike Alliance) - Wallace the Blind on the beach of North Tide's Run, Silverpine Forest - this is a bit trickier because my toons are on the same server/faction (obviously not because of the usual mailbox but besides personal logistics/often dc when switching Realms, the number of Medium RP servers isn't that big) but so far so good.