I miss an entire order, Rhynchocephalia (seen the enclosure but not the inhabitant). From the others you mention I've seen the next families:
Family Chelydridae (snapping turtles) (INCLUDING "Platysternidae")
Family Emydidae (pond turtles, terrapins, sliders)
Family Testudinidae (tortoises)
Family Geoemydidae (asian river turtles and allies)
Family Carettochelyidae (pig-nosed turtle)
Family Trionychidae (softshell turtles)
Family Dermatemydidae (central american river turtle)
Family Kinosternidae (mud turtles, musk turtles)
Family Cheloniidae (sea turtles)
Family Dermochelyidae (leatherback sea turtle)
Family Chelidae (austro-american sideneck turtles)
Family Pelomedusidae (afro-american sideneck turtles) (INCLUDING "Podocnemididae")
Order Rhynchocephalia (“beak-heads”)
Family Sphenodontidae (tuatara)
Order Squamata (scaled reptiles)
Family Dibamidae (blind lizards)
Family Gekkonidae (geckos) (INCLUDING "Phyllodactylidae", "Sphaerodactylidae", "Eublepharidae", "Diplodactylidae", "Carphodactylidae")
Family Pygopodidae (legless lizards)
Family Cordylidae (spinytail lizards)
Family Gerrhosauridae (plated lizards)
Family Scincidae (skinks)
Family Xantusiidae (night lizards)
Family Gymnophthalmidae (spectacled lizards) (INCLUDING "Alopoglossidae")
Family Teiidae (whiptails)
Family Lacertidae (true lizards)
Family Amphisbaenidae (tropical worm lizards) (INCLUDING "Rhineuridae", "Trogonophidae", "Bipedidae", "Cadeidae", "Blanidae")
Family Agamidae (agamas)
Family Chamaeleonidae (chameleons)
Family Iguanidae (iguanas) (INCLUDING "Corytophanidae", "Crotaphytidae", "Dactyloidae", "Hoplocercidae", "Leiocephalidae", "Leiosauridae", "Liolaemidae", "Opluridae", "Phrynosomatidae", "Polychrotidae" (in bold if including "Dactyloidae"), "Tropiduridae")
Family Anguidae (glass lizards and allies) (including "Diploglossidae")
Family Anniellidae (american legless lizards)
Family Xenosauridae (knob-scaled lizards)
Family Helodermatidae (gila monsters)
Family Shinisauridae (chinese crocodile lizard)
Family Varanidae (monitor lizards) (including "Lanthanotidae")
Family Acrochordidae (file snakes)
Family Aniliidae (false coral snake)
Family Anomochilidae (dwarf pipe snakes)
Family Atractaspididae (stiletto snakes)
Family Boidae (boas) (including "Bolyeriidae", "Cylindrophiidae", "Loxocemidae", "Pythonidae", "Tropidophiidae", "Uropeltidae", and "Xenopeltidae")
Family Colubridae (colubrids) (including "Cyclocoridae", "Homalopsidae", "Lamphrophididae", (in bold if including "Psammophididae"), "Pareidae", "Prosymnidae", "Psammophididae", "Pseudaspididae", "Pseudoxyrhophididae", and "Xenodermidae")
Family Elapidae (elapids)
Family Viperidae (vipers)
Family Xenophidiidae (spinejaw snakes)
Family Anomalepididae (primitive blind snakes)
Family Typhlopidae (typical blind snakes) (including "Gerrhopilidae", "Leptotyphlopidae" and "Xenotyphlopidae")
Order Crocodilia (crocodilians)
Family Crocodylidae (crocodiles)
Family Alligatoridae (alligators, caimans)
Family Gavialidae (gharials)