

Works out of the box
No tinkering needed.

30 FPS max
Only 30% Of CPU and GPU even in Full settings mode

Game window didn't open
The game window could not start, only the sound of the game. I used proton 6.3 and 5.0 but the problem is not solved

Worked very well with 6.3-1, a real improvement over 5.x
With 6.3-1 I can play in full-screen mode (5.x only worked windowed for me). Had to ALT-TAB to to game after launch. The ESC key didn't work to exist the benchmark.

Performance is noticeably worse than Windows, but still playable
Crashes every ~30 minutes

PROTON_NO_D3D11=1 %command%

Benchmarks reveal approx. 50-70fps for a Nvidia GeForce GTX 1060 6GB GPU, with i7 processor & 32GB memory.
Proton-5.8-GE-2-MF GloriousEggroll
export WINEPREFIX=<your game directory wine prefix, eg: ~/Games/XYZ>
wine ~/Downloads/DirectX_June_2010_SDK/DXSETUP.exe
wine ~/Downloads/vcredist_x86.exe
wine ~/Downloads/vcredist_x64.exe
winetricks dotnet35 corefonts
wine ~/Downloads/Batman_Arkham_City_GOTY/setup.exe
after installation, add game to Lutris pointing to executable BmLauncher.exe
Some jitter
Had to disable PhysX in the Game settings, in the launcher
Requires some tweaking if you're stuck with using an older graphics driver like me (390.138 at the time of this writing). Installed the game using Wine with its own prefix, playing the game using Lutris, PhysX in game settings need to be disabled to make it playable for older graphix drivers.

Minor stutter still very enjoyable.
Some stutter here and there when loading cutscenes. Combat is mostly flawless.