In Newton's third law for the apollo 13, what is another example, other than a gas tank exploding?

Not quite sure about your question. Are you looking for more examples specific to Apollo 13?

Beyond the O2 tank explosion a couple specific examples come to mind:

Several course corrections achieved by use of rockets.

Urine dumps were suspended because MC was concerned about uncontrolled course changes

Beyond Apollo 13, a couple visible ones might be:

Billiard balls interacting on a table

A high velocity water hose pushing around a few strong firemen

It's not just for the gas tank exploding in the Apollo 13, Newton's Third Law of Motion applies to practically everything. For example, the Saturn V rocket that got the Apollo into it's orbit is based on the 3rd law.

On a more mundane level, when you're walking, you push against the ground and there's a reaction force of the ground pushing against you, which propels you forward.

Third law

Whenever a particle A exerts a force on another particle B, B simultaneously exerts a force on A with the same magnitude in the opposite direction. The strong form of the law further postulates that these two forces act along the same line. This law is often simplified into the sentence, "To every action there is an equal and opposite reaction."

3rd. For every reaction there is an equal but opposite reaction.

A person hanging from a pull. The gravity pulls down the guy while the pole is supporting and pulling the guy up.

That's Newton's law.

How about a combustion?

A rocket.