Caius sits next to 5 phonetic neighbors — Kai, Gaius, and Cayo are the closest matches by sound. Most share Caius's Latin-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"to rejoice, joyful"
"short form of Asher (happy, blessed)"
"powerful counselor (via Ronald)"
"son of the army ruler"
"gift, wealthy possessor"
"loyal"
"new house (place name)"
"herb garden settlement"
"from Mauritania"
"overseer, superintendent"
"from the crooked stream"
"one who tends the grange"
"cedar tree, resinous wood"
"from the fen, marshland dweller"
"high stronghold, fort on the headland"
"one who catches fish"
"light, illumination"
"skill acquired through experience"
"companion, fellow traveler"
"Trent's town, settlement on the Trent"
Similar sound: These names share phonetic patterns with Caius — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Caius.
Rhythm: Caius is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.