Anti-cheat software
Anti-cheat software are tools designed prevent cheating in games. Anti-cheat software oftentimes prevents games from running on Linux, since these anti-cheats don't have Linux support integrated. However, more games with anti-cheat are now becoming playable on Linux.
Anti-cheat games with Linux support
You can see which games have support here.
Details of anti-cheat support
The most popular anti-cheat software is EasyAntiCheat, BattleEye, and VAC. VAC natively supports Linux. Moreover, the anti-cheats EasyAntiCheat and BattleEye currently have support for Linux through Proton. This has resulted in some games enabling this Proton support, so that they're playable on Linux.
EasyAntiCheat
EasyAntiCheat became supported in a recent Epic Games EasyAntiCheat SDK. Since many EasyAntiCheat games don't use this SDK, many games must update or change out their anticheat SDK for the ability to enable Proton support.
BattleEye
Developers can enable Proton support for their game by emailing BattleEye developers.