Max sits next to 4 phonetic neighbors — Maxx, Macks, and Maxine 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, largest (from Latin Maximus)"
"dew of the sea"
"princess; noble lady"
"consecrated to God"
"God is salvation"
"beautiful, graceful"
"sacred maile vine, fragrant offering"
"of noble birth"
"close companion of the heart"
"from the Sabine king Titus Tatius"
"little bird"
"beautiful voice"
"consecrated to God"
"successful, prosperous"
"holiest city in Islam"
"pure love, pure affection"
"lake or pool (from Welsh -lyn suffix)"
"son of Harry"
"son of Hugh, child of heart and spirit"
"divine hospitality; gift of grace"
"God enlightens (via Jay/Jairus roots)"
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.