The anthology will be a bit like the "Twilight Zone" (already being rebooted on CBS All Access) and "Black Mirror" with different actors and stories each episode. IMDB lists some aactors involved including Ed Burns ("Saving Private Ryan") and Sasha Alexander ("Rizzoli & Isles"). Presumably, more big names have taken part but have not been released.
The press release promises the show "will transport the audience to worlds of wonder through the lens of today's most imaginative filmmakers, directors and writers." The showrunners are Edward Kitsis and Adam Horowitz from ABC's "Once Upon a Time."
The ambitious, original version of the show aired in the mid-1980s on NBC and lasted only two seasons despite multiple Emmy nominations. Here's a trailer:
Apple TV+ has not announced a release date or come out with a trailer, but "Amazing Stories" will likely be part of the roll-out of the first set of original programs including "The Morning Show" starring Jennifer Aniston and Reese Witherspoon. A few moments of "Amazing Stories" pop up in a broader Apple TV+ promo trailer.