Don't need tire levers on any of my bikes, ask @
northbend why.
Tube, patch kit, piece of Tyvek for boot material, spoke wrench, MAFAC tool kit cause MAFAC brakes, loosen allen wrenches, blade and phillips screwdrivers. Well, some of the MAFAC wrenches are tire levers on the other end, so I guess I do carry them, just don't use 'em.
On a tour I'll bring a Stein cassette tool, a couple of spare spokes and a small jar of chain lube. I tend to tour with other people, so I talk them into bringing all the heavier tools
Anything more than that you're getting into the low probability, high specialization tools. A couple of times I've lead a dozen riders across forestry roads from Portlandia to Tillamook (North Trask route) and brought a spare rear derailleur, brake and derailleur cables because it was 15 miles to get back to a paved road, worst case.