Azure sits next to 4 phonetic neighbors — Azura, Azura, and Hazel are the closest matches by sound. Most share Azure's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"sky blue, the blue of a clear sky"
"from Javea (place name)"
"land ruler, powerful ruler of the land"
"gift of grace, divine favor"
"powerful ruler"
"guarded by God"
"dweller near the ash grove"
"modern American coinage"
"gold, golden"
"valley"
"noble and devoted to God (possible interpretation)"
"gentle rose, tender rose"
"of Mars, dedicated to Mars"
"victorious people (if from Nicole root)"
"invented phonetic name"
"ship, navigation"
"variant of America or Amelia"
"garden of God, God's vineyard"
"cherry tree or fruit"
"hawk-like, admirable lake"
Similar sound: These names share phonetic patterns with Azure — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Arabic/Persian via French origins, giving them the same cultural heritage as Azure.
Rhythm: Azure is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.