"Reflexive only" verbs
Solution 1:
Following are verbs that, according to the Cambridge Grammar of the English Language (p1488), have "a reflexive as the only (or virtually the only) type of object permitted":
absent (from), avail (of), busy, comport, ingratiate
Collins Cobuild English Grammar (p146) adds:
pride, content
calling them "true reflexive verbs" that "must be used with a reflexive pronoun".
Solution 2:
Behave yourself.
Devote yourself to understanding.
Devote your efforts to understanding.
The crowd at the Trump rally behaved well this time.
He saw himself in the mirror.
He saw the results.
"See" is obviously a verb that's usually used non-reflexively, but the reflexive pronoun is used when the object and subject refer to the same person or thing.
"Devote" and "behave" can be used without a reflexive pronoun, but when they are used with a reflexive pronoun, it's not because the object and subject refer to the same thing; rather, those verbs with reflexive objects seem to be phrasal verbs.