English doesn't really have a word like "Yoroshiku Onegaishimasu" but there are words kinda like it "Be kind to me" "Nice to meet you" "Please help me" Yoroshiku Onegaishimasu can work in many ways, English doesn't have a word like that.

I don' quite understand - are you saying that the next time you enter an English speaking country and have to show your passport, you want to be able to speak to the immigration official in English, saying the equivalent of よろしくお願いします？ There really isn't an English equivalent for that phrase that would be suitable in those circumstances. Just hand over the passport, smile and say 'of course', or 'here you are', or say nothing. It really isn't required and if you start asking an immigration official to please treat you kindly they will probably become suspicious that you have something to hide! If I have completely misconstrued your question, I apologise!

Here is a video link that you might find helpful: https://www.youtube.com/watch?v=uxSK8B4YxH8 頑張ってね。＾＾

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Mr. Bok and Ms. Hilary Metcalf Thank you for answering!! I understand that content. :-) So, I behaves according to your answer if becoming such a situation.