@sinibar My family does that too. My father takes it a step further: He looks for newspaper articles that fit with the present or feature big, beautiful pictures he knows we would like, and wraps our gifts in them. That's caring in a way bought paper can't beat, and it often adds infos or jokes to the present.
I recently discovered gift bags for myself: They're sturdy enough to be reused multiple times, not just two-three times, and require less sticky tape.