I don't know much about Deep onion so i won't recommend it, but XMR is well known and have a trusted community which are using a complex cryptographic methods.
Other coins which are claiming for having anonymous transactions are Dash, Verge and Zcash, but i doubt them because these coins still have open ledger and I didn't find them anonymous till now.
Monero is quite good, you can't also see the put amount because of the privacy guard of its user.
Deeponion on the other hand, I've seen of it I didn't invest in it, and I also don't think that this coin is very promising regarding anonymity.