I just ran the importer on my rather large database.  It worked this time from localhost instead of over the network. 
  
Items in red did not import, items in green were confirmed imported, items in orange cannot be confirmed because the do not apply. 
Staff (including login passwords)	
Client Groups	Clients (excluding login passwords)	Credit Card Payment Accounts	Custom Client Fields and Values	Client Notes	Contacts - Imported as clients, this can be an issue...	Tax Rules	Currencies	Invoices	Recurring Invoices	Transactions	Client Credits	Support Departments	Support Tickets (excluding attachments)	Support Predefined Response Categories	Support Predefined Responses	Sent Emails	The following Settings:	
Mail Delivery Type		
SMTP Host, User, Password, Port, and Security Type		Invoice Days Before Renewal		Invoice Reminder Settings		Auto Debit Days Before Due		Suspend Services After Due	
	Calendar Events	Products (become packages)	Registrars (become modules/module rows)	Servers (become modules/module rows)	Services	Domains (become services)