My browser also fails to open them, unless I make the following change:
NSFW WARNING!
Original link example: https://api.redgifs.com/v2/gifs/mediumaquamarinecharmingtahr/files/MediumaquamarineCharmingTahr-silent.mp4
Becomes: https://redgifs.com/ifr/mediumaquamarinecharmingtahr/
(Please forgive including NSFW link to demonstrate link modification)
There are 3 changes to the link: remove api, replace first two subdirectories with ifr, and remove last two items
Wanted to share in case anyone else has the same difficulty