I don't know that many movies or tv-shows off the top of my head, BUT, I do know books, and books are often turned into movies/tv shows anyway so here goes (if I know there's a movie I have put it in the brackets):
-The Song of Achilles by Madeline Miller (gay, historical/Ancient Greece, the rights for a tv show have been sold afaik but no other updates as of yet that I know of)
-Girls of Paper and Fire by Natasha Ngan (lesbian, fantasy)
-Check, Please by Ngozi Ukazu (an online comic you can also buy in paperback now)(gay, contemporary/sports)
-both The Gentleman's Guide to Vice and Virtue and it's sequel (kinda), The Lady's Guide to Petticoats and Piracy by Mackenzi Lee(gay, asexual, lesbian, look man these books have it all. And pirates! They're both historical)
-Of Fire and Stars by Audrey Coulthurst (lesbian, fantasy)
-Oranges Are Not The Only Fruit by Jeanette Winterson (lesbian, autobiographical-ish, there's a tv mini series apparently?)
-Kitchen by Banana Yoshimoto (transgender, Japanese)
-A Place Called Winter by Patrick Gale (gay, historical/Canada)
-Simon vs The Homo Sapiens Agenda / Love, Simon, by Becky Albertalli (gay, contemporary/high school, also a movie)
-any Sarah Waters book ever, they're all lesbian and erotic. Tipping the Velvet is a movie, and the Korean movie the Handmaiden is also based on a Sarah Waters book
-Days Without End by Sebastian Barry (gay, historical/United States)
-Aristotle and Dante Discover the Secrets of the Universe by Benjamin Alire Saenz(gay, contemporary/latin-american teens, there's rumours about a movie floating around but nothing confirmed just yet)
-The Miseducation of Cameron Post, by Emily M. Danforth (lesbian, 90's, conversion camps, also a movie)
-Everything Leads to You by Nina Lacour (lesbian, contemporary)
-Lies We Tell Ourselves by Robin Talley (lesbian, historical/60's segregated US, interracial)
-Maurice by E.M. Forster (gay, a classic, there's a movie with Hugh Grant!)
-Rick Riordan also has a LOT of queer characters in his books. I especially like the Trials of Apollo series, because Apollo, the former Greek god and current bisexual teen disaster, is really hilarious.
I do know more books but these are all ones I have both read and actually liked to some extent. I especially highly recommend The Song of Achilles, A Place Called Winter, and both of the Mackenzi Lee books (the Montague Siblings books). But I really like historical fiction, so
Some other movies/series that are either about lgbt characters or have important lgbt characters/storylines:
-The Magicians (tv series)
-The Ten Year Plan (movie. It's not a
good movie per se, but it's just a cheesy romcom that's also gay.)
-Star Trek: Discovery (only season 1 so far)
-Queer Eye (the new Netflix series. It's not fiction, but it's so wholesome and good, I love it)
-Las Chicas del Cable (Spanish tv series)
-Wilde (movie, about Oscar Wilde, with Stephen Fry and Jude Law)