Distinguish two comparable teams

Let's imagine I have two teams in my club. Both are equally skilled and I want both to have a name that reflects that, so no Team 1 and Team 2 because Team 2 sounds worse than Team 1. Alpha and Bravo are also not possible because Bravo is a step down from Alpha. What could be a good name for my two teams so they don't feel one is preferred or has the advantage over the other team?

Solution 1:

• Cougars, Mountain Lions, Pumas, Panthers
• Tigers and Lions
• Hawks and Eagles
• Spartans and Trojans
• Pulverizers and Crushers
• East and West
• Stars and Astros
• Invincibles and Champions
• Rockers and Rollers
• Mustangs and Stallions
• Surf and Waves
• Quasars and Pulsars
• Photons and Quarks
• Marauders and Pillagers

Solution 2:

One, sir, looks for such equivical names in ancient mythologies.Thus, how about the name Ares, the Greek god of war, and his Roman equivalent Mars.