Kucoin, Poloniex. There's also Coinbase Pro if you only want to trade about a dozen of the larger altcoins. Huobi also has a US site now (which I haven't tried yet) with a couple dozen altcoin markets.
I think Kucoin is the only option besides Binance that allows unverified accounts.
So now we can clearly see things are not 'goodbye' for our beloved USA traders. Kucoin is not bad but I agree that it has not the charm and huge volume of Binance and CZ. I think this will also serve as an opportunity for Kucoin to step up on their service and they can be the top exchange for USA traders. And like the others said, VPN will always comes in handy.
Yeah, I will probably take a two-pronged approach once the new Binance terms take effect in September. I'll make a new VPN account for Binance and then split my capital 50-50 between Binance and Kucoin. If Binance forces verification and catches us for violating terms, I think they would still allow us to withdraw in most cases. But reducing my exposure by 50% will make me feel safer.
I just hope stablecoin liquidity on Kucoin improves. Then I could move more funds there.