Access sits next to 3 phonetic neighbors — Axe, Axel, and Access are the closest matches by sound. Most share Access's Latin-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"entry, means of approach"
"butcher, one who slaughters"
"prosperity, fair weather, rich ore vein"
"a fertile plain, level country"
"short form of Elizabeth"
"laurel tree"
"will, desire, divine purpose"
Similar sound: These names share phonetic patterns with Access — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Access.
Rhythm: Access is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.