Ice sits next to 4 phonetic neighbors — Ace, Brice, and Rice are the closest matches by sound. Most share Ice's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"frozen water, crystalline coolness"
"Little fire (as variant of Aidan)"
"of the highest class or quality"
"fat tail, referring to a grouping of stars"
"Modern invented name with powerful, dynamic connotations"
"of Jove (Jupiter), cheerful and good-humored"
"from the white meadow"
"brilliantly renowned"
"New house or new home"
"God has grasped"
"valley of pigs"
"sudden dash or rush"
Similar sound: These names share phonetic patterns with Ice — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English is origins, giving them the same cultural heritage as Ice.
Rhythm: Ice is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.