[Jotaku]

• Anime Valorant = Strinova
  
• Anime League of Legends = Onmyoji Arena, Eternal Return (may be disagreed due to its unique feature, equipment building, instead of simply buying and Battle Royale instead of Team Deathmatch)
  
• Anime Fortnite = Super Mecha Champions (may be disagreed due to its unique feature, mecha transformation, instead of building things), My Hero Ultra Rumble (may be disagreed due to it being 3rd-person fighting game with a little bit of shooter instead of being a full shooter)
  
• Anime Tekken = Does not exist yet
  
• Anime Street Fighter = Does not exist yet
  
• Anime Age of Empires = Touhou Empires, Star Maidens Chronicle (may be disagreed due to its own fighting-game like mechanics between races)
  
• Anime StarCraft = Does not exist yet (Perhaps Age of Ethanols is closest one, but its atmosphere is not as futuristic as StarCraft)
  
• Anime WarCraft = Does not exist yet
  
• Anime Diablo = Does not exist yet
  
• Anime Call of Duty = Does not exist yet
  
• Anime Counter-Strike = Trianga's Project: Battle Splash 2.0
  
• Anime Overwatch = Second Wave
  
• Anime Rainbow Six = Does not exist yet
  
• Anime Hearthstone = Shadowverse
  
• Anime World of Warcraft = Does not exist yet
  
• Anime Apex Legends = Does not exist yet
  
• Anime ELDEN RING, Dark Souls = Does not exist yet (Code Vein has no PvP)
  
• Anime PUBG = Does not exist yet
  
• Anime Minecraft = Does not exist yet
  
• Anime Quake, Doom = Does not exist yet
  
• Anime Guild Wars = Does not exist yet
  
• Anime Zelda = Tower of Fantasy (may be disagreed as it is MMO with PvP contents)
  
• Anime Smite = Does not exist but Smite itself sometimes collaborate with anime materials
  
• Anime World of Warships = Does not exist but World of Warships itself sometimes collaborate with anime materials
  

Anime PvP games that look similar to another anime game instead of non-anime games = ASTRA: Knights of Veda (resembles Dragon's Crown)

Anime PvP Games that are currently popular and have completely their own mechanics = Pokemon series, Yu-gi-oh Series, most of Anime Fighters like Guilty Gear/BlazBlue/etc, Omega Strikers

Hope you find your best anime pvp games.