Though it’s probably beyond the remit of the show(s) I really like the idea of International Rescue getting very involved in political/capitalist standoffs, always coming down on the side of the little guy, and always having remarkably plausible deniability

You‘re suffering a drought due to unethical business practices? WHOOPS WE ACCIDENTALLY DESTROYED THIS BOTTLING PLANT IN THE COURSE OF SAVING CITIZENS, GUESS WE’LL USE OUR UNLIMITED RICHES TO PROVIDE FREE WATER TO YOU TOWNSPEOPLE WHILE WE SORT THIS SORRY SITUATION OUT

Political protestors are in danger due to a zealous, militarized police force? OH NO WE DIDN’T RESCUE THEM PER SE, WE JUST INVITED THEM TO OUR RAD PARTY ISLAND IN OUR SUPERSONIC ROCKET

Government’s refusing to provide adequate clothing supplies for survivors of
IR’s most recent rescue mission? WELL SIRS IT’S A FUNNY STORY, BUT WE
ACCIDENTALLY REPLACED ALL THUNDERBIRD 2′S MISSILES WITH FLUFFY KNITTED SWEATERS

And so on.