Kaymere sits next to 5 phonetic neighbors — Kamir, Kasmir, and Jamir are the closest matches by sound. Most share Kaymere's Arabic influence-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"one who fulfills, generous"
"Wealthy, prosperous warrior"
"son of Rawlin, son of Ralph"
"lord, master (Ky- root from Greek Kyrios)"
"pure one"
"beautiful, most beautiful"
"descendant of Donndubhan"
"western settlement"
"black, dark-complexioned"
"descendant of Raghallach"
"the Lord is salvation"
"modern coinage, possibly 'thankful lion'"
"pure one devoted to God"
"modern invented name"
"champion, passionate one"
"God has remembered"
"fruitful, productive"
"northerner, man from the north"
"vigilant, watchful"
"modern coinage, gentle sound"
"fabric finisher (occupational)"
Similar sound: These names share phonetic patterns with Kaymere — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Arabic influence origins, giving them the same cultural heritage as Kaymere.
Rhythm: Kaymere is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.