Axie Infinity has converted itself as a frontrunner in the NFT gaming industry in recent times. Their gaming architecture and the theme have attracted numerous players in a very short period of time. Thus, the majority of the crypto gaming community is interested in creating their own NFT game that is similar to Axie Infinity. Thus, I have enclosed the general steps that are required to create an NFT game like Axie Infinity.

Brainstorming the concept and architecture of the game.
Creating an idea for implementing the type of NFT collections and in-game assets.
The basic theme of the game should be decided beforehand, as it serves as the initial point for the game.
After the theme and the assets have been created, the blockchain network is determined, it can be anything of your choice, but Ethereum is the most commonly used blockchain for NFT gaming.
To have a complete insight into the development process, having a look at the whitepaper of other NFT games helps tremendously.
The final stage would be hiring a top-tier NFT development company after devising the complete layout for your NFT game.