This has probably already been talked about many times, but I actually didn't know a lot about Monero until now. Monero was launched in 2014 as a fork of Bytecoin, and is one of the most sophisticated and privacy focused cryptos today. Its privacy infrastructure uses three cryptographic technologies; ring signatures, stealth addresses, and ring confidential transactions.
Ring signatures are the first layer of the Monero architecture. Pretty much, a transaction sender can sign a message on behalf of a whole group, and observers can't determine which member of the group actually made the signature. This doesn't seem very useful at first but Monero puts it to good use. When someone makes a transaction, their signature is mixed with signatures from other outputs on the blockchain making it extremely hard to track. The ring size also affects security, of course, if you have two mixed signatures versus 1000 the security is much greater.
Stealth addresses are the second mechanism. Traditional cryptos like Bitcoin make a single public address that receives transactions, making it traceable. Monero, on the other hand, generates a unique one time address for each transaction, created using the recipients public spending key and the sender's random data. This makes it impossible for observers to track transactions to a single recipient.
RingCT (Ring Confidential Transactions) is Monero's third mechanism. RingCT hides transactions amounts while still allowing network nodes to verify transactions. RingCT uses zero knowledge proofs, proofs that show transaction inputs equal outputs without actually showing the amounts involved.
These three technologies work together to ensure that it is virtually impossible to track Monero transactions. Along with that, Monero tokens are fungible, so they are all the same and have no history. Of course, this makes it attractive to people looking to engage in illicit activities, which is a hazard. Unfortunately, there's no way to prevent this if we want true privacy. These issues have also lead to delisting from crypto exchanges like Coinbase, Kraken, and Bitfinex, but there is still a dedicated user base and Monero continues to be traded on P2P platforms.
One pretty cool thing about Monero is that it is good for mining. Using the RandomX algorithm, Monero is ASIC resistant, leading to decentralization and more people mining on CPUs. I've actually mined it a bit myself on a Mac, and while it isn't very profitable, I think it's a great concept.
Overall, Monero is a really innovative coin and I'm interested to see what features the devs will add, and how it will impact crypto.