Binance mostly don't require KYC if you're depositing/withdrawing less than 2 BTC per day. It's definitely not impossible for them to suddenly ask for KYC out of nowhere though.

If you really want no KYC, use peer-to-peer platforms such as HodlHodl[1], LocalCryptos[2], and Bisq[3]. Of course, since these are p2p, don't expect them to be as easy-to-use compared to platforms such as Binance, Coinbase, etc.

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[1] https://hodlhodl.com/
[2] https://localcryptos.com/
[3] https://bisq.network/