Wavy sits next to 4 phonetic neighbors — Waverly, Davey, and Gravy are the closest matches by sound. Most share Wavy's Modern English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"undulating; like a wave"
"The lord is high"
"hawk-like; stately"
"what is given, what is cast"
"tax collector, rent farmer"
"dearly loved"
"round, short person"
"to throw overboard, to cast away"
"initials: various combinations (Andrew Charles, Anthony Cole, etc.)"
"divinely favored"
"weapon, mace bearer"
Similar sound: These names share phonetic patterns with Wavy — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Modern English origins, giving them the same cultural heritage as Wavy.
Rhythm: Wavy is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.