This is a Basilisk Lizard (Basiliscus plumifrons), they are native to Mexico and Central America. They are also known as; Plumed Basilisk, Double Crested Basilisk, Jesus Christ Lizard; Largato de Jesus Cristo (Spanish), Common Basilisk, Basilisco Común (Spanish), Green Basilisk Lizard, Green Basilisk, Stirnlappenbasilisk (German).
Blue Mexican Alligator Lizard (Abronia graminea) is a viviparous species that is native to to states in Mexico. They are also known as; Mexican Alligator Lizard, Sierra de Tehuacan Arboreal Alligator Lizard, Terrestrial Arboreal Alligator Lizard, Grüne Baumschleiche (German), Escorpión Arboricola de Tehuacá (Spanish), Lagarto-alicante terrestre (Spanish), Alligator Lizard.