For what it's worth, my emergency bag contains:
Passport
Bank account numbers, checkbook, and cash
Recent phone bill and bank statement: These are better proof of residence than government documents, because you can list any residence on those.
CD with copies of major documents from my computer; photos, including those for insurance purposes; scanned copies of my passport and ID and a recent property tax bill.
Copies of prescriptions and doctor's contact info, photocopy of health insurance card
Homeowner's insurance information
List of all possible personal emergency contacts