Titles within the Shounen Jump are generally marketed teenage boys, and have a high popularity in the US; so you could see from the popular ones which might fit your story best for the time period.
As a note to clarify further, in terms of demographic labels: Shounen - younger male Shoujo - younger female Seinen - older male Josei - older female
Although there is a lot of crossover in terms of demographics, the above labels are generally used due to the original magazines the manga chapters are published in.
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As a note to clarify further, in terms of demographic labels:
Shounen - younger male
Shoujo - younger female
Seinen - older male
Josei - older female
Although there is a lot of crossover in terms of demographics, the above labels are generally used due to the original magazines the manga chapters are published in.