Rhys sits next to 4 phonetic neighbors — Reese, Reece, and Rees are the closest matches by sound. Most share Rhys's Welsh cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"enthusiasm, ardor"
"gracious, mild"
"branch, tendril of a grapevine"
"hazel island"
"short form of Aurora (dawn)"
"rowan tree"
"pearl"
"shining one, star"
"beloved, esteemed"
"beloved one"
"just, righteous, upright"
"united, connected"
"close companion of the heart"
"from Lucania (southern Italy)"
"new, bright star"
"meditation, absorption in thought"
"ginger plant, spice"
"exalted, rising, ascending"
"little rock, harmony"
"free one, from France"
"heavenly one, of the gods"
Similar sound: These names share phonetic patterns with Rhys — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Welsh origins, giving them the same cultural heritage as Rhys.
Rhythm: Rhys is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.