Polysensual describes the sensual attraction to many but not all genders. Someone who is polysensual experiences sensual attraction to more than two genders, but not all of them. They may be sensually attracted to all genders but male; sensually attracted to men, genderfluid people, women, and agender people, but not xenic people, etc.
The sexual equivalent is polysexual and the romantic equivalent is polyromantic.
History
It is unknown when exactly polysensual was coined, but it has been around since May 2, 2016, via Pride-Flags on DeviantArt. They most likely coined it, but it is not for sure.
Both the polysensual flags were designed by Pride-Flags on DeviantArt on May 2, 2016.