If i'm not mistaken Monero also provides a pretty good level of anonymity. Whether that exceeds or doesn't exceed ZCash I don't know.
In January 2017 the Ring CT will be activated on XMR mainnet. The Ring CT will enable Monero to have the same grade of anonymity as Zcash.
The difference will be negligible but with huge tradeoffs for Zcash (trusted setup, new mathematics).
I think this is a fact only few people are aware of now, but more will be when Ring CT goes online and the price reacts.