Replacing the launcher exe doesn't change a thing.
I'll make a support ticket as requested.

Edit: I see I didn't read properly, the launcher was not a fix for the launching issue of the OP.

Support try help me but no effect. Still game cant run with Galaxy...:(Without Galaxy work fine. Some idea for fix this?

Support redirected me to the above fix of which I already mentioned that it's not working for me. :P
So same situation for me. Not a huge problem. I'm just trying to help GOG maintaining a good reputation for the Galaxy launcher (there will be people that don't know how to launch an exe file manual).

Still cant work on Galaxy...I try everything.I play without Galaxy:(

Have you verified the game to check that the files are sync'd properly?

Yes.I uninstal galaxy,uninstal game.And nothing.Problem cant fixed

It's a known problem. You can read about it here: https://www.gog.com/forum/crysis_series/game_in_gog_galaxy_cant_run

Looks like the Crysis.exe in Bin64 dir is not compatible with Galaxy.

I found the fix for the problem. BackUp the Crysis.exe in your Bin64 dir. Download the Crysis 64-bit binaries from here - https://community.pcgamingwiki.com/files/file/257-crysis-64-bit-binaries. Extract the files & copy only the Crysis.exe to the Bin64 directory. Run the game with Galaxy. Enjoy!

Edit: I reinstalled Windows I now I get the no DVD message too. Thankfully I have the game in Steam & if I copy the GL.ini, paul.dll & winui.dll to the Bin64 directory, the message will go away.