It is common practice to italicize or put white paper titles in quotation marks when listing them on a website. Underlining is not typically used for online content as it can be mistaken for hyperlinks.
Titles of novels, plays, newspapers, albums, etc get underlined. Short stories, poems, song titles, articles, etc. go in quotes.
Book titles are italicized if possible. If not, they are underlined.
The Odyssey and Iliad are both epic poems. While short poems are quoted in writing, epic poems are underlined do to their length.
Book titles, movie titles, TV show titles, play titles, and music album titles should be underlined when used in writing.
No, when typing the title of a movie you should italicize it. Titles of films are treated the same way as the titles of books and plays (and other such works--see the link below for more examples). Some publications do use quotation marks around film titles--for example, The New Yorker magazine--but the standard rule is to use italics.
Single and double quotes are grammatically equivalent. The choice between them is entirely stylistic, but you should pick one and consistently use it, rather than alternate between them. For the most part, it is better to use double quotes, as this makes it easier to discern what is what when there are quotes embedded within quotes.
I think that it would be underlined because most titles for other things are underlined
No they should not.
Essay titles are placed inside quotation marks.
Song Titles are put into italics.
No.
It is underlined under MLA rules or in italics under the APA rules, but never in qoutation marks. Quotation marks are used for quoting text from books, short story titles, articles in periodicals or reference works, etc.