It is possible to be environmentally conscious and still present a well-wrapped gift that doesn’t get newsprint all over the fingers of the recipient (and the wrapper). The best bet is to use upcycled paper bags or craft paper. At the very least choose wrapping paper without the glossy coating so it can be recycled (as shown here). Typical gift ribbons can also be replaced by real ribbon or, in this case, bias tape. It gives the gift a much more polished look and can be reused by the recipient in a craft project or to wrap another gift (or stolen back by the giver to use again).
Also, you don’t have to wrap every part of the gift. I made a nice little arrangement, with a couple wrapped gifts and the card, and some extra gifts (that would have been hard to wrap or taken a lot of extra paper.
Of course, parents and grandparents always love things that are decorated or written on by their kids/grandkids. For this one, I had our boy label the packages and then color on some warmed-up rocks with crayon (it makes a nice, melty effect). The rocks served as the “bows”.