This is its own genre! Here are some:
'Pathology' is an excellent WIP about a mysterious plague. Right now it's at the part where Wilson is infected. Is gen right now but supposed to turn into slash. http://www.fanfiction.net/s/2976336/1/

'Limericks" has Wilson with testicular cancer. He doesnt' die. Slash. http://alex51324.livejournal.com/803.html

'Camel's back' and its sequel 'An ever fixed mark' are about Wilson having a nervous breakdown. Gen. http://community.livejournal.com/house_wilson/1037127.html
http://community.livejournal.com/house_wilson/1148155.html#cutid1

'Better To Have Loved And Lost' is a gen WIP that hasn't been updated in a while. Wilson is dying of brain cancer. http://www.fanfiction.net/s/3341807/1/

'Denial Isn't A River In Egypt' is a superb gen WIP in which House is trying to diagnose Wilson's mystery illness. http://geekygecko.livejournal.com/9354.html#cutid1

In 'Into The Fire', Wilson is injured in a fire. Gen. http://www.squidge.org/housefanfiction/archive/11/intothe.html

'Love and Happiness' has Wilson suffering for a severe brain injury. Gen. http://www.squidge.org/housefanfiction/archive/15/loveand.html

'Things That Go Bump' is a great slash story about House diagnosing Wilson's mystery disease. http://community.livejournal.com/house_wilson/557156.html?view=5645924#t5645924

Wilson suffers from depression in 'Unclaimed Baggage'. Gen. http://www.squidge.org/housefanfiction/archive/14/unclaimedbaggage.html