ULN2003 based stepper driver not driving 28BYJ-48, and nothing coming up on the indicator lights
First, get yourself a cheap DMM.

Next, measure the 5 volts on the 2003 board, between V- and V+ (are you sure you connected the V- to your 5v ground?)

If you've got a good 5 volts, start measuring your control lines. If all 4 are zero (or less than about 0.5 volts), that will explain why your LEDs aren't lighting.