Most modern kitchens come pre-drilled for a lot of different handle positions. if it's done carefully you can sometimes use the holes and it won't leave any lasting marks/damage that weren't already there (to some extent).
The stick blender I got a good while ago came with a mounting bracket, but it's been in a drawer pretty much since then.
The holes already in the door are pretty useless to mount to as they are spaced wrong and too high to allow the door to open. I had a scrap piece of MDF which was about the right size, albeit a bit big, it'd at least stop the head of the blender hitting the door and potentially marking it.
The holes were somewhat roughly aligned and drilled and using some of the smallest screws I had fixed to the inside of the door far enough in to avoid the frame of the cupboard.
The blender mount screwed on again, using some ridiculously tiny screws which really didn't look like they were going to hold
[Update]
With the power of hindsight, I can say that yes the screws held. It's a shame the new place has much older units drilled only for what was needed and despite their apparent, imminent replacement once I move out (there was a massive pile of kitchen units in the garage when I moved in) I'll not be risking it.
[Double Update]
Now with another house move in the way, maybe this can be done again.
