I have never heard of and seriously doubt if any sane institution would ever draft in print even an outline listing of private life actions giving rise to disciplinary action by a university. (Sure cases like those referred to by T K at Baylor - and maybe worse - will exist and in some jurisdictions their peculiar edicts may well prevail. But these are off the norm.)
I say this as no university management could ever:
(1) Envisage all potential private life activities giving rise to concern over corresponding professional conduct; nor
(2) Always be sure that an aforelisted private life activity, regardless of its limited degree, intent and circumstances, should be regarded as sufficient grounds for disciplinary action leading to dismissal proceedings. For example, an academic continually nudged by a drunken provocateur in a bar where the former was having a quiet drink after the funeral of an old friend may well lose his temper and attack his annoyer leading to an assault case involving the academic. Clearly the circumstances and extent of this incident would not justify a dismissal process by the employing university.
To me, it makes far more sense to establish (naturally, in consultation with academic and other staff associations, student union reps, university governing committee and the wider educational and communities) general principles whereby the professional and personal lives of academic staff be fairly separated and unacceptable potential areas of conflict highlighted.
The borderline between the personal and the professional life of an academic (as for any other profession) must be clear.
Clearly, if this separation is not respected on campus, then professional ethical issues not related to the nature of the personal issue will arise.
But I assume you particularly refer to personal aspects of academics' lives that are done off-campus but which may still lead to concern by the university management.
Obviously, extreme views and/or public expression of those views in a way that really offends many people would be an instance. Like a professor expressing on local TV a disbelief for the notion of a Jewish holocaust in WW2. Likewise w.r.t. other discriminatory rhetoric.
The issue here is whether a university management can plausibly expect the public to believe an academic will keep such views to him/herself on campus. If they adjudge the public to disbelieve this then there is an immediate threat to the institution's corporate reputation and the relationship of trust betwen the univerwsity and the public.
Similar situations arise with public knowledge of other personal behavior of an academic that clearly would regarded as deviant or dangerous and likely to emerge in the campus environment.
I personally think - and many universities' fair process procedures sort of supports this - that these situations should always anyway be judged on a case-by-case basis even where some category of infraction is applied.
