Phoenix sits next to 3 phonetic neighbors — Felix, Phineas, and Lennox are the closest matches by sound. Most share Phoenix's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"dark red, crimson"
"bowman, one who shoots arrows"
"my God is Yahweh"
"healer"
"gift of Yahweh"
"virile one"
"wild man; Irish person"
"companion, friend, from Arabic Kadin"
"keeper of the game preserve"
"the jay bird, blue jay"
"rock, stone"
"son of Armand, warrior"
"at the ford"
"people's champion, victorious"
"the crowned one"
"leatherworker, craftsman"
"Greek transliteration of Hebrew Toviyah"
"warrior, brave one"
"always powerful"
"protector of men"
Similar sound: These names share phonetic patterns with Phoenix — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Phoenix.
Rhythm: Phoenix is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.