they are becoming increasingly scarce, but there are still several available. binance and hitBTC are the no-KYC altcoin exchanges (with USDT markets) that i would suggest. just keep in mind that if you decide to hold USDT that these are not real fiat liabilities of the exchange you are on, but rather bitfinex/tether.to liabilities.

bitfinex and WEX.nz both allow trading and cryptocurrency withdrawal without KYC. i'm a bit paranoid to leave too much money on either exchange because of the FUD surrounding them. WEX is the reincarnation of BTC-e, who got indicted and shut down earlier this year. bitfinex owns tether and both got blacklisted by the banking system --- one has to wonder why.

if you are an experienced trader, i would suggest bitmex. they have no KYC and they only deal with bitcoin collateral via swap and futures contracts. fyi, bitmex, bitfinex and WEX all prohibit US customers (although VPNs seem to be working fine)...