Rui sits next to 3 phonetic neighbors — Ruy, Louie, and Dewey are the closest matches by sound. Most share Rui's Portuguese-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"glorious ruler"
"safe and sound"
"sky"
"dragon"
"one who has renewed life"
"from Lucania"
"gift of God (via Welsh David)"
"bean grower, of the bean family"
"precious green stone"
"counsel guardian"
"protector of mankind"
"divine gift"
"nobleman, member of the patrician class"
"sacred name"
"who is like God (form of Michael)"
"enlightened rice (kanji: 悟飯)"
"bright color, vitality"
Similar sound: These names share phonetic patterns with Rui — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Germanic via Portuguese origins, giving them the same cultural heritage as Rui.
Rhythm: Rui is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.