If a Superman-like being emerged overnight and "prevented a large natural disaster, defeated a terrorist organisation and overthrown a tyrannical government", then governments and people around the world be trying to get in contact with the aforementioned super-being. They would want to know what he was going to next and what were his future plans. Because they would want to know how this was going to affect their lives.
Basically everyone would want to negotiate and accommodate with the super-being. They would also want to know where he hangs his cape when he's not out and about doing his superheroics.
Persons, organizations and governments that will find themselves in contradiction with whatever he wants to do with set about trying to find ways to destroy the super-being. After all, everybody needing a bargaining chip in any negotiation.
It is frankly impossible to determine what future generations will do because this is entirely contingent on what the super-being intends to do, and the question does not supply any information about that. It is possible to assume the super-being will do what Superman does, but Superman is a fictional character whose exploits are limited to what his writers can imagine and fairly limited ways. A real-life super-being will have ideas of his own and there is no reason to assume they will duplicate a fictional Superman's.
All that can be said, is to guess what the initial reactions will be to the arrival of a real-life super-being. Beyond that, is pure speculation. Otherwise you need to be specific: the details of the natural disaster, what terrorist organization was defeated, and which tyrannical government was overthrown. These will begin to give ideas about some of what the super-being's activities will be. Some guesses can be made initially, but after that it's nothing but guesswork.