There are two games upcoming that will not normally be free to play but you can earn the assets for free at the moment, if you be active in this early phase they will both be f2p for you.
Myria Games (it's a game launchpad actually) (like GalaGames but free to play usually), they are giving away 8 nfts at the moment, the game's founders are the same founders as Epic Games, MARVEL, EA Games so the NFTs might be valuable. you can look at this thread for more info:
MyriaGames Free NFT Missions ^^
KryptoFighters: Polygon Game to launch, they are giving away NFTs and NFT parts you just need to be active on discord and share their social media stuff. The game looked really cool to me, I like turn-based strategy games and this looks quite like "darkest dungeon" you can learn more about it here:
Source: https://www.reddit.com/r/NFTGames/comments/vfa2mc/want_to_play_blockchain_games_but_dont_want_to/