In the tool bag:
Crank Brothers M17 multi tool
Gerber micro multi tool
Small vise grips with narrow jaws
Small adjustable wrench
Tire levers
Patch kit
Extra hidden chain links (8, 9, and 10 speed)
Digital pressure gauge
Zip ties
Duct tape (small amount wrapped around a piece of dowel)

Spare tube (in a saddle or bar bag because it varies by bike)
Spare folding tire in a rack bag when on the tandem
Pump (usually frame mounted and for presta and schrader)