Hither Shore was a term used especially by the Elves for the mortal lands of Middle-earth, a reminder of the far distant shores of Aman. In First Age Sindarin, it also had a more specific meaning, since it translates into that language as the name Nevrast, a cold seaward region in the northwest of Beleriand.
Hither Shore is also the title of the bilingual (German and English) annual published by the German Tolkien Society (Deutsche Tolkien Gesellschaft/DTG). Think of it roughly as the German equivalent of Tolkien Studies. Visit the webpage for Hither Shore at .