Max sits next to 4 phonetic neighbors — Mack, Mac, and Jax are the closest matches by sound. Most share Max's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"greatest"
"of uncertain origin, possibly barberry hill"
"cloth fuller, fabric tucker"
"hero of God, man of God"
"glory bright"
"God will uplift"
"beloved, darling"
"son of Hendrik"
"animal enclosure, warren"
"group, team, company of people"
"crooked nose"
"Gaelic speaker"
"steadfast, firm"
"ever powerful"
"valley dweller"
"crossing, toll bridge operator"
"king, ruler, monarch"
"Yahweh has shown favor"
"precious and brave"
"consecrated to Mars"
Similar sound: These names share phonetic patterns with Max — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Max.
Rhythm: Max is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.