Artists - new forms of art, html5, cool particle effects, webgl, 3D model scripts (for videos and such) and so on. A lot of use.
Bakers - baking is a science, machine learning to figure out just the perfect ingredients for the best bread? Pastry? Etc? I'm fairly certain there's a reason why Oreos taste just the way they do.
Brewers - same as the above. Why does Guinness taste just so? There's a lot of science behind that, science and stats.
Chefs - the same argument applies. I also suggest you watch The Best Hamburger Ever -> http://www.youtube.com/watch?feature=player_embedded&v=U...
Electricians - this one is a bit tougher, but some lighting systems in some houses are pretty damn complex - to the point I'm almost certain there are some microcontrollers involved. Or what about stage lighting? Sure it's physical, but it's still programming.
Fashion designers - a tough one, but someone has to program all those looms (although that's fabrics). They could also decide to turn it into a science, or what about those Samsung (or was it Philips?) LED fabrics that can be programmed to make lightshows. That could make it into fashion too.
Firefighters - ok you got me here, this is a very physical job that probably wouldn't benefit from programming .... oooh, how about fire prediction? Calculating how it will spread in a building? That sort of stuff?
Fishermen - have you seen the amount of high tech on a modern fishing boat (on telly for instance)? Puts the average reddit battle station to shame. Those things are complex and look very programmable.
Mechanics - don't modern cars depend a lot on their electronics? Aren't there people who almost do nothing other than tune engines? Isn't that quite a bit like programming?
Musicians - a guy at my faculty made a software that does some intricate things with music, I forget what it was, but basically machine learning on sounds and stuff like that. All very interesting and programming-heavy. Also the effects some peopel use these days are pretty damn awesome ... programmable?
Pilots - don't they already pretty much program the auto pilot? What I've seen on television (discovery channel for instance) that thing is very complex and it doesn't look too far from programming when they input their commands.
Plumbers - microcontrollers that control the amount of water flow based on time of day and season for the best water economy. That is all.
Psychiatrists - they already program people's minds. They don't need anything more than that or they'd be too scary.
Stylists - depends on the kind of stylist. Machine learning from tweets about a celebrity to figure out their best look? To figure out trends in style in advance so the celebrity client always looks like they're ahead of the curve? Hell, apply this to fashion designers as well.
Winemakers - it's a science. A lot more goes into a bottle of wine than most of us think (I've seen how advanced the field of tea tasting is). I'm sure there's a lot of chances for programming therein.
Zookeepers - when do you put a mommy bear and a daddy bear together in the pen so they don't eat each other and produce baby bears instead? ok that's statistics, but a little R programming wouldn't hurt.
Guess what I'm saying is, almost all of these professions could benefit from at least programming in R.
edit: The point is that, if all those people at least knew about programming, who knows what they'd be able to create or at least think of (and then get someone to do it)?