Interesting, my usual skills are pretty different from most people. I like to have three miners, but it skills up so fast I don't start anyone with any points in it in the beginning. There are also some other skills that I don't set but enable, either because they also skill up quickly or they do not see a whole lot of use, so I don't care if they are 0.
Mechanic: 5 mechanic, 1 siege operator, 1 siege engineer, 3 pump operator, 0 mining (but enabled)
Stone: 5 Engraving, 5 something else -- usually backup mechanic, 0 mining
Smith: 5 armorsmith, 4 weapon smith, 1 furnace operator, 0 mining (highest moodable skill is armorsmith)
Axe: 5 axeman, 5 in other military skills (usually 2 shield, 3 armor), 0 carpentry, 0 crossbow maker, 0 wood cutter
Farmer: 4 Grower, 1 plant gatherer, 1 cook, 1 brewer, 1 butcher, 1 tanner, 1 leather worker (most of these jobs are taken over by migrants)
Trader/Doctor: 5 Diagnostician, 1 each in 5 various trade/organization skills
Crafts: 5 Stone crafter, 4 bone crafter, 1 glassmaker, (0 wood burner to make 1 charcoal if I'm making my own picks)
By the way, I started playing in the days that "play now" gave you a random set of skills, so I "trained myself" to never use it.