If I KNOW I'm going to want to print something and it is archival important (family event, etc.) I'll still shoot film with my Nikon F6 at the same time I shoot DSLR. But I'm a film geek like that and still have a darkroom in a far corner of the basement.
It's cheaper than putting up a digital picture frame everywhere you want a photo, so occasionally I convert an image file to .dtf, dead-tree format. If I'm feeling particularly artsy, I print it onto glossy, which is still mostly dead-tree plus some amusing petroleum hydrocarbons, I imagine.
If you've got a kid or, got help you, kids, and a family filled with grandmothers, great-grandmothers, great aunts, regular aunts, or cousins that seem to inexplicably love babies, chances are you're going to have to print off lots of pictures of your adorable little wee one(s).
I'm on both team @hippiechik and team @Pavlov. I still shoot some film (though I have to bring it to Lomography to have it developed and printed) and I use mpix.com to get fancy prints of the digital shots I like.
At a family gathering last year, my grandpa realized that my aunt has been walking around with this fancy camera (how relevant!) taking all kinds of pictures over the last couple years and he's never been given a single one!
"Well we just put them on Facebook, Grandpa!" "What's a Facebook? I've never heard of those."
I still take my memory stick to Walgreens and get prints. It's pretty amazing how the kids and grandkids like looking at the old picture albums and I'm pretty sure they don't gather round the monitor to look at pictures. My adult kids have all their pictures on CDs or the cloud or something. That's great until the technology changes or something crashes.