Consider measuring the momentum of an electron. You pass it through some kind of electromagnetic field, it strikes a photodetector (e.g. a CCD), and you back-calculate out the momentum of the particle by how much it curved from a straight-line path. You're taking a position measurement of where the particle hit, and deriving its momentum from this (via a classical equation nonetheless, which seems kind of sketchy to me).
Consider a spin measurement. You use a Stern–Gerlach apparatus and note which way (up or down) the particle curved. Again by looking at the position of where it struck a photodetector.
Consider an energy measurement. You figure out the frequency of an emitted photon by its spectral lines -- once again by measuring the position of these lines relative to some axis.
So am I missing something here? Are there any direct measurements of quantum observables that don't require passing through some "position intermediate"?