Archippos’s name day is February 19, the feast of Archippos.
Churches that follow the Old (Julian) Calendar keep the same feast on March 4 (a day earlier in leap years) of the civil calendar. See everything commemorated on February 19.
The saint behind the name

Archippos
February 19, Apostle, Άρχιππος
St. Archippos the Apostle is named in the New Testament, where St. Paul calls him his fellow soldier and bids him fulfill the ministry he received in the Lord. Numbered among the Seventy Apostles, he served the church at Colossae in the household of Philemon in the earliest days of the faith.
Name days: Archippos
What to say on a name day
The Greek wish is Χρόνια Πολλά (Chronia Polla), “many years.” A call or a short message on the day is what people remember. See name day wishes you can send and what a name day is.