Renzie sits next to 3 phonetic neighbors — Kenzie, Remi, and Renzi are the closest matches by sound. Most share Renzie's Scottish cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"fair one, bright, handsome"
"island of the moon"
"water of life"
"beautiful being, graceful"
"sea tide, son of the sea"
"great, large"
"elaboration of Etta (ruler of the home)"
"order, beauty, universe"
"industrious"
"yawning emptiness, vast chasm"
"righteous, virtuous, pious"
"daughter of the sky"
Similar sound: These names share phonetic patterns with Renzie — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Scottish Gaelic origins, giving them the same cultural heritage as Renzie.
Rhythm: Renzie is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.