All these photos were taken at Zilker gardens in Austin.
Blue dasher, Pachydiplax longipennis
Neon skimmer, Libellula croceipennis. This is a male, which is a brighter red than the female.
Great spreadwing, Archilestes grandis. I think this is the largest of damselflies. I'll have to look this up to be sure.
Desert firetail, Telebasis salva, another damselfly
Slaty skimmer, Libellula incesta
Eastern amberwing, Perithemis tenera. This is a very small dragonfly, here holding to the edge of an unfolding water lily leaf.
Click any photo to enlarge