Omnisexual

This omnisexual libertine who shuttles between his whore and his catamite (with equally regular visits to his tailor) has no classical prototype since aggressive bisexuality was completely acceptable as ‘masculine’ behaviour in ancient Greek society.

Source: wiktionary

There was something in this that made our relationship more than homosexual, and more than heterosexual. Perhaps it could be called an omnisexual relationship.

Source: wiktionary

In short, all readers can share, consciously and/or unconsciously, Whitman’s omnisexual vision—omnisexual in the all-encompassing sense of embracing auto-, homo-, and heteroerotic impulses.

Source: wiktionary

These Oedipal tensions are mirrored by a structural conflict between the [new Doctor Who] series’ tacit multiculturalism—captured by omnisexual Captain Jack Harkness, who exemplifies an exogamous future humankind that goes to the stars to “dance” with every species they meet—and the drive to reunite the nuclear family […]

Source: wiktionary