Thompson sits next to 4 phonetic neighbors — Thomson, Jackson, and Jameson are the closest matches by sound. Most share Thompson's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"son of Thomas, son of the twin"
"companion, friend"
"crown, wreath"
"Carl's town or farm"
"bright, shining one"
"high mountain, exalted"
"spear warrior, ancient one"
"modern invented name"
"son of the ace, son of excellence"
"short form of -dino names, little warrior"
"lean, slender warrior"
"my vision, my sight"
"brave, strong boar"
"fire, blaze (folk association)"
"winner, victorious fighter"
"deer, little deer"
"queen of the gods"
"twin"
"child of Zeus (folk etymology)"
"creative American coinage"
"intelligent one"
Similar sound: These names share phonetic patterns with Thompson — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Middle English origins, giving them the same cultural heritage as Thompson.
Rhythm: Thompson is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.