Wrapping presents doesn’t have to involve fancy sheets of paper and expensive gift bags. For my husband’s birthday I have wrapped his presents in pages from one of his old Top Gear magazine that was on its way to the recycling bin and put them all in a paper Selfridges bag.
I think it has worked really well. It still looks like a nice gift, I think the bright yellow of the Selfridges bag helps, but the magazine pages make an interesting wrapping paper. All the wrapping can easily be recycled once the presents are opened.
I would suggested asking the recipient if they mind before you do this otherwise they might think you are really mean!