Lyra sits next to 5 phonetic neighbors — Lila, Lydia, and Lara are the closest matches by sound. Most share Lyra's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"lyre, musical instrument"
"good, fine"
"pleasant wood; meadow near a lake"
"rose"
"child of the fair one"
"youthful; Jove's child"
"laurel, symbol of victory"
"God is my strength"
"fair, white, blessed"
"rest, comfort (when borrowing the male Noah's meaning)"
"narrow strait, channel"
"foreign riches"
"angelic, messenger of God"
"great lord, magnificent ruler"
"Victorious one"
"wise, knowing"
"star"
"free woman"
"son of the handsome one"
"fair bow, white arc"
Similar sound: These names share phonetic patterns with Lyra — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Lyra.
Rhythm: Lyra is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.