1. The lack of DAL seems to disqualify AA so let's try DL HOU-SHV-LIT-MEM-STL-ORD
14. AF would be my next guess but the lack of a Concorde makes me think it might be a different European carrier. How about the following...
LH 737-100 GVA-FRA
LH 747-200 FRA-JFK
AA DC-10 JFK-DFW-ABQ