2d or 3d?
pc, mobile, or console?
hobby or commercial?
single or multiplayer?

the best engine is the one that's best for your needs - you might want to start with defining your needs.

Unreal Engine was made for FPS games. C++ coding, or use a visual scripting system that's pretty easy to learn. A little cumbersome to use at first, but once you get the basics, it's pretty nice.

Godot has LUA support through https://github.com/perbone/luascript
No idea on how good it is, never used Godot or LUA. Apparently everyone's talking about Godot these days though, it's on my list to try out.

For modern commercial FPS, I don't see a reason not to go with UE4... It's built for FPS, you get the source, and it's practically free (good luck making 1M a year).