In the heat of the moment = without thinking because they are angry or excited.

• Don’t say anything in the heat of the moment.
• He didn’t mean it ; he said it in the heat of the moment.
• We all do things in the heat of the moment which we then regret.

Set the world on fire = to do something wonderful or exciting things ; to be extremely popular/famous.

• As a girl, Janet dreamed of setting the world on fire as a famous actress.
• A:  I am not very ambitious .  I don’t want to set the world on fire.
• B:  You don’t have to set the world on fire.  Just do a good job.

Make waves = (1) create significant impression.

• He has already made waves as a sculptor.
• She has a history of making waves.  She is the first woman in India to get the first place in IAS exams.