First class is their standard first class and first suite class is their fancy first class suites, which are highly regarded. (uponarriving.com)
Franklin Templeton Investments Introduces LibertyShares with First Suite of Strategic Beta Exchange Traded Funds (libertyshares.com)
Of interest was their new First Suite Class on their 77W (actually a 777 - 200), which only operated between New York - JFK and Seoul - Incheon. (travelcodex.com)