Btw, you mention private coins. Do you know that bitcoin and other cryptocurrency is actually easily traceable?
The only truly private (and fairly distributed) coins are Monero, Karbo and Aeon. You can't trace transactions on their blockchains unless you're allowed to by sender. There are no other options. Everything else is open and traceable.
Oh my, the only worse thing about not knowing is thinking that you know. There are a plethora of privacy oriented coins like electroneum, Deep Onion, Token Pay, Sumocoin, ... the list is endless
You lost the most important part: they should be fairly distributed, which means no premine/instamine, no "ninja mining". Just fair mining and/or buying from miners.
Also using a public blockchain behind Tor does not make coin "private". There are cases when Tor has been compromised.
Thus we are left with CryptoNote coins only. And I listed all of them which are fair.