EarthBound

In 1995, in the village of Onett, on the continent of Eagleland...

Young Ness was asleep one night when a loud crashing noise awoke him suddenly. As he rushes out of bed and up to a nearby hill, he encounters a strange meteor, carrying a single passenger: a mysterious insect-like being named Buzz Buzz. Buzz Buzz tells him that in the future, an evil alien being known as Giygas has conquered the world, and the only ones who can stop him are four young kids: three boys and a girl. Ness, of course, is one of the chosen ones, and he must find the other three children: Paula, a young girl with remarkable psychic powers, Jeff, a mechanical genius, and Poo, the young Prince of Dahlaam. Together, these four friends have the power to defeat Giygas and save the world from his chaotic reign!

The game features "rolling HP meters" - when a character is dealt damage, it's not all taken away from his HP right away, but instead his HP decreases slowly; if the combat is ended quickly, even a massively damaging attack can leave a character with only minor injuries. By winning battles, characters receive experience and thus become stronger. If the player-controlled characters are strong enough, weak enemies will escape from them instead of trying to attack; when chased down, they will be defeated instantly.

Saving the game is done by finding a telephone and calling Ness' father. When the heroes defeat enemies, Ness' bank account receives money, which can be then retrieved from ATM machines throughout the game and spent in shops to buy better equipment or useful items.