Yes but they are a modern phenomenon, and they go by the named of Arian rather than Unitarian. They also are small groups, largely based on the Internet.
Arian Catholicism is an Internet Church, founded in 2006, claiming to teach true Christianity. The church is Arian in nature but not Anomoean and follows the teachings of Arius of Alexandria - that Jesus was a man to be followed, not worshipped, who was the spiritual Son of God. God the Father and the Son of God were not co-eternal, nor of the same substance. Arian Catholics believe that Christianity was hijacked during the fourth century; that the Romans integrated Christianity with Paganism and the Roman State; the Romans introduced Trinitarianism, altering the ecumenism of the church; and that the Romans destroyed scriptures that were not in keeping with the newly authorised beliefs.
According to their website, the official symbol of the Arian Catholic Church is the Chi-Rho cross, in preference to the crucifix or the other types of cross.
Arian doctrine was historically deemed heresy by Trinitarian Christians, but the Arian Catholic Church likewise deem Trinitarian Christians to be heretics and apostates.
Note - This group has either changed a lot, or another group has taken over with that name! A few days ago I ran across an Arian Catholic Church but it was "non-dogmatic" advertised itself as far as "inclusivity" (Women in ministry, gay friendly etc.). I however have had trouble finding that web site again (may be off line now).
There is a smilar "Orthodox" Arian group here.
I seem to recall seeing other groups using the words "Essene" and "Nazarene" (which can mean a number of other things including New Age and Messianic Jewish/Hebrew Roots), but haven't seen anymore recently.