demisexual and omnisexual. One can be attracted to any gender (though gender may often still play a role in one's attraction), but requires an emotional bond before experiencing sexual attraction. The connection can be romantic, platonic, or some other form of connection. Forming an emotional bond with someone does not mean that one is automatically attracted to said person, as it just means there's now a possibility for one to feel attraction.
Demiomnisexual people can have any romantic orientation.