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First Class International has disappeared from shipping method offerings
When the new postal rates went into effect, my site no longer offered First Class International, only Priority and Express International, even though settings were enabled for First Class. It worked fine until the price change.
I was able to turn on First Class Large Envelope, but I am not not even sure most shipments would qualify.
I can not believe I am the only one to lose this shipping option with the price change.
I have the same problem, USPS changed the name to First-Class Package International Service, I have tried previous fixes but have had no luck, I would think everyone else should be having same problem.
You need to I modify the /app/code/core/Mage/Usa/etc/config.xml file and change First-Class International Parcel mail name to First-Class Package International Service, check this link as this was the fix last year also:
Once you have updated the name in both places refresh your cache and in system configuration select that shipping method.