Read our dedicated article on this topic.
Felix
Happy
Strong's #G5344
Felix is Roman Procurator (Governor) of Judea from 52 to 60 A.D. In early summer 58 A.D., the Apostle Paul, after his arrest, is sent to Felix for his trial. The procurator, although he hears Paul's defense several times, keeps him as a prisoner for more than two years in the hopes someone will bribe him to release the apostle. A bribe is never offered and Felix is replaced in 60 A.D.
References
Acts 23 - 24, 25:14
Festus
Festival, festal
Strong's #G5347
Porcius Festus takes over the role of Judea's Procurator from Felix in 60 A.D. Upon assuming his new responsibilities, Festus immediately revisits the case against the Apostle Paul. His offer to hold Paul's trial in Jerusalem is rejected. He does approve of, however, the apostle's request to have his case heard before Caesar in Rome.
References
Acts 24:27, 25:1 - 26:32
Fortunatus
Fortunate, well freighted
Strong's #G5415
Fortunatus was a Christian who attended church in Corinth. He traveled to see Paul in Ephesus during the apostle's third missionary journey.
References
1Corinthians 16:17, 24