YOU SAID:

My name is a good name which no one else has except for me

INTO JAPANESE

私の名前は私を除いて誰も持っていない良い名前です

BACK INTO ENGLISH

My name is a good name that no one has except me

INTO JAPANESE

私の名前は私以外に誰もいない良い名前です

BACK INTO ENGLISH

My name is a good name with no one other than me

INTO JAPANESE

私の名前は私以外の誰もいない良い名前です

BACK INTO ENGLISH

My name is a good name with no one other than me