Amish sits next to 4 phonetic neighbors — Hamish, Ashish, and Amish are the closest matches by sound. Most share Amish's Sanskrit-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"honest, truthful, pure"
"homestead, settlement"
"energetic, lively"
"one from Bourgeon"
"intellect, soul"
Similar sound: These names share phonetic patterns with Amish — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Sanskrit origins, giving them the same cultural heritage as Amish.
Rhythm: Amish is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.