You can name it Leadwerks V. "V" can stand as a number but also as a Vulkan. Or just Leadwerks engine? Furher updates can be incremented by year, Leadwerks V2021, etc.
FPS like Resident Evil 7: Biohazard
instead off-racing I would suggest 3rd person shooter with ability to drive vehicles
Space shoot-em-up Velocity 2X
For side-scroller maybe something like Inside or Little nightmares? ( with a lot of physics examples )