Yes, there were a few 'games' some time ago, but in the context of history it's nothing.

Ongoing international games as we understand them are a new phenom, dating back to the mid 19th century, and then only a few games.

The modern Olympics are not that old.

There were almost no such games for most of antiquity until late into the Enlightenment.

Again, that's absurd.

The ancient Greek Olympic games lasted for close to 1200 years. Unless your definition of ongoing is longer than that, I think they qualify.

The ancient Olympics carried a truce enforced by Zeus, unless your definition of international doesn't include "independent political entities who engaged in war" I think they qualify.