Only a few of the Types can be introduced here
The best general introduction known to me, in English, is still R. A. Higgins, Greek Terracottas, Methuen, 1967 (with a later PB, not nearly so nice).
Similarly, to acquaint oneself with the extraordinary range of Hellenistic sculpture, I think that one of the revised editions of Margarete Bieber's The Sculpture of the Hellenistic Age, Columbia U. Press, revised edition, 1961, is still indispensable.
Of course, there are all the excavation reports of sites where figurines are found, and all the catalogues of museums that have many of them, but one must start somewhere. Best, look for terracottas in every museum you visit, and in half a lifetime you will have seen many.
To photograph in color, for teaching, apart from the National Archaeological Museum in Athens, which is subject to earthquakes, etc., which may close the upper floor, Paris and Berlin supplied the best light and most generous permissions.
On line, unhappily, there is more repetition than wealth.
I'll post more on miniature sculpture later. Here, concentrating on the Louvre's Myrinas (that is, made at Myrina, in ancient Mysia), I want to emphasize the color that is preserved on many of them. For they were found in tombs, which is the safest place for a terracotta with water-soluble paint. What they mean in those tombs attracts all the most fascinated minds.
I'll try to say a few words on each as we go along.