You’re absolutely right, Zika is another important arbovirus in this context. Very broadly speaking: Flaviviridae and Togaviridae (mostly of the Alphavirus genus) are frequently reported viruses from Ae. aegypti while e.g. Bunyaviridae are rarely mentioned in connection with them. For Plasmodium species (= Malaria pathogens, single celled-parasites): they do transmit some other forms like avian Malaria, just not those species pathogenic to humans. Also Filaroidea (=little Worms) don’t seem to be transmitted either.