Those are games you can play as a team or against each other. They require skill rather than levelling up and grinding to get better stuff.

Games

Free To Play

Shooter

• Black Squad
• Quake Champions
• Splitgate Arena Warfare
• Brink
• Quantum League(not out yet)
• Shotgun Farmers
• Hawken
• Battleborn (Trial?)

Moba Like

• Awesomenauts
• Battlerite
• Heavy Metal Machines
• Minion Masters
• League_of_Pixels

Other Gameplay

• Roller Champions(not out yet)
• KurtzPel
• Robocraft
• World Of Warplanes
• World Of Tanks: Blitz
• Brawlhalla
• Alien Swarm: Reactive Drop
• Total War Battles: Kingdom
• Swing Dunk Beta
• Go All Out
• Star Conflict

Have at least a few of us

• Rocket League
• Rainbow Six Siege
• Disc Jam
• Laser League

Cheap

• Muffled Warfare
• Hyper Jam
• Robot Roller-Derby Disco Dodgeball

Expensive

• Trials Fusion
• Street Fighter V