To mean "persons have the same interests or are very similar" we use the idiom -

Birds of a feather
English Meaning: Persons have the same interests or are very similar.
Bangla Meaning: একই প্রকৃতির লোক
Ex. Sentence: She and my mother were birds of a feather.
Bangla Meaning: সে এবং আমার মা একই ধরনের মানুষ।

Bird of passage
English Meaning: a person who passes through a place without staying for long / a migratory bird.
Bangla Meaning: অস্থায়ী বাসিন্দা / যাযাবর

Blue blood
English Meaning: membership in a noble or socially prominent family.
Bangla Meaning: অভিজাত

Bosom friend
English Meaning: a very close or intimate friend.
Bangla Meaning: অন্তরঙ্গ বন্ধু

Source: Website Lecture