asexual - An umbrella term. No sexual attraction. Does not necessarily mean no sex drive.

demisexual - Subcategory of asexual: No attraction prior to a strong emotional bond. 

polysexual - An umbrella term. Attraction to more than one gender. 

bisexual - Subcategory of polysexual: Attraction to two (or more) genders.

pansexual - Subcategory of polysexual: Attraction to people of all genders