Step 1: NF1 is diagnosed when a patient meets two or more of seven well-known features, the easiest to recall being multiple cafe-au-lait spots, skin-fold freckling, neurofibromas, optic glioma, Lisch nodules, a typical bony defect, and an affected first-degree relative.
Step 2: Checking the options: cafe-au-lait spots are a core criterion, pseudarthrosis falls under the long-bone abnormality criterion, and the optic glioma counts as the NF1 brain tumor.
Step 3: The odd one out is the acoustic neuroma. Bilateral vestibular schwannomas define NF2, a separate disorder, so it does not belong in the NF1 list.
\[\boxed{\text{Acoustic neuromas}}\]