The following is an opinion, not fact

Requirements:
Metric T-handle allen wrenches
Metric L-bend allen wrenches
Adjustable wrench
Ritchey 5nm torque key
chain tool
screwdrivers
multitool
tire levers

Nice to have:
cable cutters (might be a requirement based on the person)
repair stand (ditto)
pedal wrench
click-type torque wrench
BB tool (if you have a splined, external BB)
chain whip
appropriate cassette removal tool
cone wrenches (if needed)
appropriate spoke key
lockring tool (if needed)

Advanced study:
truing stand
dishing tool
tensiometer
BB bearing press (if needed)
Hub bearing press (if needed)
Headset press (if needed)
crown race setting tool (a PVC pipe of the right diameter works fine)
digital calipers
hacksaw with steerer guide

Almost never need / go to a shop:
BB facing tool
Headtube facing tool
RD hanger alignment tool
Frame / fork alignment tool
Crown race puller
Star nut setter
Headset cup removal tools