Annya sits next to 4 phonetic neighbors — Anya, Anna, and Annie are the closest matches by sound. Most share Annya's Russian-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"grace, favor"
"bird"
"at the ash tree (from Nash + lee/ley)"
"graceful meadow"
"honorable conduct"
"noble kind"
"heavenly (via -lani suffix)"
"royal dignity, sovereign power"
"noble maiden, royal woman"
"complete and lake-pure"
"hay meadow"
"fern plant, feathery frond"
"boundless, unlimited"
"gift of God"
"peaceful song"
"she who weakened"
"God is gracious"
"sky, heavens, exalted"
"from the River Slaney"
Similar sound: These names share phonetic patterns with Annya — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Hebrew (Hannah) origins, giving them the same cultural heritage as Annya.
Rhythm: Annya is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.