Batched/automated curved lines

I would like to create curved lines or arcs by starting with either coordinates, points, or straight lines. It is for cosmetic purposes so it doesn't matter what type of curve. However, I have a lot of them and would like to automate the process - I don't want to manually create them with the Editor tools.

I cannot find any tool or method to do this. I have tried XY to Line, but because my lines are only a few miles long the lines look straight.

Any suggestions?