Ajax sits next to 4 phonetic neighbors — Alex, Axel, and Atlas are the closest matches by sound. Most share Ajax's Greek-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"of the earth"
"one who strides, walks with purpose"
"descendant of Brocán (little badger)"
"famous shouter, distinguished one"
"of God"
"from the forest"
"modern surname-style name"
"revered, venerable"
"God is gracious, Yahweh is gracious"
"wide, vast"
"gift of God"
"ash tree settlement"
"grey home, gravelly homestead"
"Yahweh has saved"
"narrow strait, channel"
"God is gracious"
"acquired, craftsman (via Hebrew Cain/Kaine)"
"modern invented name variant"
"from the court"
"sound, reverberation"
"vigilant in battle (from Casey/Cathasach root)"
Similar sound: These names share phonetic patterns with Ajax — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Ancient Greek origins, giving them the same cultural heritage as Ajax.
Rhythm: Ajax is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.