Hi Matthew,
Looks like a custom attr or custom lookup on an attr is corrupted.
Since you are not even able to access the project object, I would recommend xogging out the project object and xog it back without making any changes - this might throw the error which will give some idea on where its failing..
If the XOG goes in fine without any error and the object cant still be accessed, then try to remove the custom attributes from the project object and try xogging in back and check it again.
If this issue is happening in production, I would recommend doing a DB restore to non prod env and then try out the above steps..
The usual corruptions I have seen in the past is -having an apostrophe in the attr name or the lookup name or values...
a bad character in the name which fails the XML call... so check for these scenarios as well.
Thanks,
Jerin