As an (understably) frustrated user just posted a link to a touchscreen(?) for FP2 (only the glass, not the display as such), I searched aliexpress at random for Fairphone.
There really are two vital spare parts sold on that platform for the Fairphone 1.
This stuff - although obviously neither socially responsible nor environmental friendly manufactured - might be a last resort for prolonging the life of a FP1(U):
Display at 23.99 US$ + 4.32 Shipping (quite a few of those parts have been sold to Europe (NL, DE, FR, CH) already, according to the list at the bottom of the page.
We have more other accessories for this phone. Please search in our store. Thanks!
Battery at 6.99 US$ plus 7.79 for shipping.
This battery is sold with a capacity of 2,000 mAh (varying between 1,800 and 2,200 mAh).
Ordering and using those items is at your own risk of course.
But if you have ordered one of those parts, please report your experience here.
If you find any other source for spare parts or other parts, please feel free to add them here.
I will try to make this a wiki.