Rhamphorhynchus is a long tailed type of pterosaur with a wingspan around 5.9 ft.
The genus was quite successful: it is the most common pterosaur found in the Solnhofen limestone beds in Bavaria, Germany. These are the same strata where Archaeopteryx was found.
The jaws of Rhamphorhynchus housed needle-like teeth, which were angled forward, with a curved, sharp, beak-like tip lacking teeth.
Rhamphorhynchus had a long tail, stiffened with ligaments, which ended in a small, diamond-shaped rudder on the end of its tail which helped keep it stable when it was flying.
It probably ate small animals like fish, insects, frogs, and the like. Some scientists think it may have hunted fish similar to the way the Pelican does, keeping its beak in the water and flying along.
Fossils have been known since 1825. This genus was described in 1838 as Ornithocephalus, but in 1846, paleontologist Meyer set a new genus Rhamphorhynchus.
This classification is simple, but unfortunately it is paraphyletic, because the two suborders are not sister groups. But there is not enough evidence to see which earlier group the pterodactyloids arose from. So this is the best we can do: 
Rhamphorhynchus in The Land Before Time
The character Rinkus from The Land Before Time VII: The Stone of Cold Fire is a Rhamphorhynchus. As can be seen in the image, Rinkus's tail is incorrectly shown to be flexible, when in real life, Rhamphorhynchus had a stiff tail used to steer in flight. He is also massive, being the size of his hotheaded Cearadactylus comrade, Sierra.
Though his official species is, as of yet, unconfirmed, him being a Rhamphorhynchus can be inferred by his physical traits (his diamond-tipped tail, lack of crest, and sharp-toothed beak are noteable traits of actual Rhamphorhynchus); however, the trait he has that most obviously points to him being a Rhamphorhynchus is his name, which is almost certainly a pun on the suffix of the pterosaur's generic name.
- Unwin D.M. 2003. "On the phylogeny and evolutionary history of pterosaurs". In Buffetaut E. & Mazin J.-M. (eds) Evolution and Palaeobiology of Pterosaurs. London: Geological Society of London, Special Publications 217, pp. 139–190.
- Classification of minerals The Paleobiology Database on www.paleodb.org