When I was a kid I thought there might have been many angles who lived in los Angeles and many washing machine companies in Washington."
Or,..... I thought there might be many angles who live in..."
Pure Bangla angles I think you mean "angels". Pure Bangla Or, Both 'might be' and 'might have been' are possible. With 'might be' you place your reader at the time when you were a kid, because when you were a kid you would have said "I think there might be angels in Los Angeles".
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When I was a kid I thought there were many angles living in Los Angeles and many washing machine companies in Washington.