Maximus sits next to 3 phonetic neighbors — Max, Maxim, and Maximilian are the closest matches by sound. Most share Maximus's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"greatest, largest"
"son of Armand, warrior"
"young creature, cub"
"God is gracious (via John/Zane)"
"ruler of the elves"
"hedge dweller, from the enclosure"
"glorious fighter"
"warrior, brave one"
"money box, treasury"
"cloth fuller, fabric tucker"
"from the valley town"
"valiant, brave"
"little fire"
"invented modern combination name"
"gift of Yahweh"
"healer, physician"
"rock, strong one"
"wealthy companion"
"the third (son)"
"tumult, noise"
"happy, fortunate"
Similar sound: These names share phonetic patterns with Maximus — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Maximus.
Rhythm: Maximus is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.