Contact lens packages are provided and each includes a base member having a cavity and a sealing member coupled to the base member. An unworn contact lens is provided in a packaging solution within the sealed cavity. The base member is a thermoplastic or other recyclable material. The base member includes at least one latch and at least one slot. The latch and slot are configured to connect to the slot and latch, respectively, of another base member, after the contact lenses are removed from the cavities. A recyclable thermoplastic contact lens assembly is also provided that includes empty contact lens package base members stacked and connected together. A method to recycle used contact lens package base members, such as by curbside recycling, is also provided.