Anime in which characters have delusional personas, or believe they are a fictional character. Others may think they are out of touch with reality.
Chūnibyō (中二病) is a Japanese colloquial term typically used to describe early teens who have grandiose delusions, who desperately want to stand out, and who have convinced themselves that they have hidden knowledge or secret powers. It translates to "second year syndrome" (i.e., middle-school second-year), and has been called "eighth-grader syndrome" in English-speaking countries. [Wikipedia]