Maybe you should be more specific about what platforms you want to play the game on. This is because most NFTS P2E games that are legit and trusted can be accessed only on PC or Mac. You rarely find them on mobile phones. However Decentraland is the only GameFi i have tried and tested. I recommend you start with it. It is accessible using the web so you can make use of your PC or mobile phones.
Decentraland is also good project but I am not a gaming person hence the reason I stick to buying and trading its token MANA. I believe project fundamental and partnerships influence price which has not failed me when identifying a good project.
You and the OP may also check out Animalia. Its a new independent free-to-play online NFT trading card game that features crypto-inspired meme creatures and gemstones. It's also powered by Binance Smart Chain just like Mavia and the Decentraland backed by etheruem. ANIM mainnet launch was just few days ago and debuted on Bitget as we also look forward to Binance listing once adoption is peaked.