Anime: Japanese for "animation" oder "cartoons." In American fandom however, it's used to refer to any form of Animation produced in Japan. Anime comes in the form of animated TV shows oder movies, video games, and comic books.
AMV: stands for Anime Musik Video. AMVs are Videos made Von Fans that feature scenes from Anime together with audio from another Quelle such as English songs, dialogue oder Musik from another TV show, oder movie trailers. The best AMVs are praised for their good video editing techniques and cleverness in choosing the best Anime scenes to go with the chosen song oder dialogue.