Unfortunately this hasn't really been touched on, but since the destruction of Asgard and Thor's regression from a god to a mortal with a powered suit and hammer, I've been thinking of all the things the Odinson now has to worry about...
-- Breathing (does the suit feature life-support, or does it just boost his strength?)
-- Transmissible Illness
-- Neurological disorders/Mental Illness
-- Hereditary Disease (he's in a mortal body, but what's the genetic history of said body?)
-- Disfiguring/Disabling Injury
-- STDs (though he's been too busy brooding to get any)
-- Physical Side-Effects of the suit (obliquely reference in Ultimate Comics Ultimates #5, albeit as the excuse that he was holed up in Stark Tower so he could be under observation)
-- Performance problems with the suit and hammer, such as the hammer glitching up mid-battle, or the hammer exploding in his face
-- Being attacked when not wearing the suit
-- An itchy beard
Anything else I'm forgetting?