Here I'm going to talk about rhododendrons as a genus, as opposed to individual species. This is mostly because, if I did know the name of the examples shown above, I have managed to since forget them.
Rhododendron, and its associated subgenera of Azaleas, belong to the Ericaceae family and are predominantly found in Asia. It's name comes from the Ancient Greek for "Rose" (rhódon) and "Tree" (déndron). Many of them flower in spring, producing stunning flowers that have made the plants so beloved since the nineteenth century in particular.
Rhododendrons generally prefer shelter from drying winds, moist-but-well-drained soil and- with the exception of some of the smaller alpine varieties that survive in full sun- being planted in dappled shade. Typical of the Ericaceae, they prefer acidic soil and so if your garden has alkaline soil, it would make more sense to pot your rhododendrons up, rather than acidify your soil (no mean feat!). This is quite simple as rhododendrons are surface-rooting and so their roots should only be lightly covered with 5-10cm of soil for the plant to flourish.
R. ponticum is one of the most prevalent examples of the genus, especially here in Great Britain. This is as a result of its incredibly invasive nature, growing voraciously in a variety of landscapes from northern Wales to the west Midlands. It is a hardy plant that reproduces via suckers that shoot upwards from its roots, and is consequently difficult to eradicate.