Amy sits next to 3 phonetic neighbors — Jamie, Ami, and Aimee are the closest matches by sound. Most share Amy's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"beloved, dearly loved"
"birch meadow"
"pledged to God"
"ruler of the people"
"manly, brave"
"related to John (God is gracious)"
"work-power, home-ruler"
"Dealer in cloth and fabrics, cloth merchant"
Similar sound: These names share phonetic patterns with Amy — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin via French origins, giving them the same cultural heritage as Amy.
Rhythm: Amy is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.