Late 40's was when you saw the first movements to change from pistons to jets so I think "The Jet Age", or "Dawn of the Jet Age", works fine for a game starting in the 50's. According to wikipedia;
... In the history of commercial aviation, the "jet age" began in the late 1950s....
A name for the 60's seems a bit harder to come up with but how about "Peace, Love, and the FAA"? Kind of a play on the 60's being the hippie era and the time period just after the FAA was formed. The Federal Aviation Agency was formed (1958) and was settling into its place as the authority for commercial aviation throughout the 60's, changing its name in '67 to, as we know it today, the Federal Aviation Administration when made a part of the United States Department of Transportation.
My other suggestion for the 60's would be "Welcome To Economy Class". Reasoning behind the name was that the late 60's and into the 70's saw airlines start moving towards making flights available for everyone. Before that, only what we would consider to be first class pax today were able to afford to fly.