Damir sits next to 3 phonetic neighbors — Amir, Samir, and Tamir are the closest matches by sound. Most share Damir's Russian-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"peace giver, one who gives peace"
"follower of Demeter, devoted to earth mother"
"one deserving of praise"
"defender of men"
"well-born, of noble birth"
"he shall live"
"praiseworthy, highly praised"
"brave man, warrior"
"son of the sea, great tide"
"cosmic serpent (mythological)"
"praiseworthy, highly commended"
"may God give increase"
"vigorous, flourishing"
"the pure and selected"
"beautiful, excellent"
Similar sound: These names share phonetic patterns with Damir — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Slavic origins, giving them the same cultural heritage as Damir.
Rhythm: Damir is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.