All of the old flagship cards use multiple power plugs. For example, my R9 280 (7950) uses an 8pin and a 6pin power plug. 780 and 680 would be the same way. Even the GTX760 used two 6pin plugs, just like the 7870. You would have to go back many generations to find a card that used only one plug. And at that point it would be so old it wouldn't be worth it.
While not the greatest card ever, for a ~$200 and single power plug budget the 3GB 1060 is a good deal. Probably the best you can get.