Never:
Fishing/Hunting (Waste of dwarf power + cause of injuries and deaths)
Extracts (Waste of time + dwarf power. I've yet to do this, even for the novelty)
Woodworking (Mods have overshadowed this industry for me.)
Sometimes:
+Butchering Industry. (Only for the bones to turn into arrows, I get my food from other sources/rarely do anything with leather.)
+Breeding rare animals. (The elves bring me nice things now and again. I generally don't raise these to slaughter)
+Dying cloth/thread. (I'd do this a lot more, but the whole industry sucks. Not enough control over what is dyed/used)
=Engraving. (In select places, I try and avoid mass engraving things. I do like to engrave things I won't get access to again easily, like magma channels)
=Stone working. (Nice for the early doors and things, I try and move to glass asap.)
-Gem setting/gem cutting. (Eh, I use to do this when I was starting to place, but now I only really bother if I wanna do something special for a dwarf.)
All the time:
Farming. (Major for me. All food, booze and dyes come from this. I only stop when the stockpiles get full.)
Metal working. (Turning bars of metal into, normally, corkscrews, blocks and pipes as well as floodgates and doors)
Mechanics. (Gears are the single most useful thing in any fort, I try and train up two legendary mechanics over time if I can.)
Glass working. (Huge industry for me, since I've modded in green glass barrels and bins and beds. It's replaced the wood working industry for me. Includes kiln and ashery)
Cloth Industry. (Farming produces the pig tails which get turned into bags, for the glass industry, and ropes, for breeding animals and, when dyed,
decorating)
I think I've missed a couple.