There are many competitors for Monero, but none is powerful enough. And I will not discuss about the coins whose anonymity is not 100% certain, those I don't care about.
Actually the only worthy new competitor for Monero would be Grin, if people would accept its inflationary nature.
There is nothing wrong with Grins emission schedule but is definitely a lot wrong with its ledger unacceptability. It is incomparable with Monero.
On top of it the protocol still is fairly new they tried to resolve one issue but brought forth another at the same time.