- Hot Potato games
If you can even call them games. The point of these early crypto games – most of them gone by now – was simply for a player to purchase a token, hoping that another person would buy it off their hands, always for a higher price.
- Collectibles, with and without gameplay
Made most popular by CryptoKitties, and succeeded by a plethora of look-alikes that ended up making a reputation of their own(BlockchainCuties, Etheremon, Axie Infinity, are all examples of successful games), collectibles were a first step away from hot potato games and in the direction of more complex, more fun games.
- RPG, MMORPG, Strategy, Idle and others
Similar to the games above, but with even more complex gameplay, games like Ember Sword, Crypto Wars, and Ethercraft have never made it as big as games that push the collectible aspect harder.
- Gambling
Gambling games are honest, in the sense that they’re not pretending to be anything more than what all crypto games started out being: basically just gambling with cryptocurrencies.
- Off-chain crypto games
Recently, many promising games are coming out that have actually decided to keep the entirety of their code centralized, using the blockchain only to run a tokenized game economy on it.
More information about blockchain games you can read in this article
https://gameunculus.io/blog/119Hope it was useful.