They won't if they have a half decent power supply with decent filtering.  But really cheap ones will flicker at 60hz.  It's why you get that with Christmas lights, they don't bother to add any bridge rectification or filtering.
Though there's also PWM that's a totally different thing, but normally done at higher frequencies that won't be noticible, but it can potentially cause issues with certain things like sensors as mentioned.
Now I'm kinda curious if my flashlight does indeed use PWM or if it just uses a dropper resistor.  Suppose one way to find out is to hook up a solar panel to my scope. 

    Can sometimes see PWM with naked eye but really depends on the frequency.  I can see projector PWM sometimes, well that's not really PWM just line scanning.