Save stories and posts in full quality.
Look at stories without leaving a view.

Saver is a bookmark that runs inside your own Instagram tab. Press it on instagram.com and a panel opens with three tools:

Stories. The accounts you follow with a story up, newest first, or any account you type. Preview and save the photos and videos, and open highlights. Nothing counts as a view: the “seen” receipt Instagram’s story player sends is never sent.
Post. Paste a post or reel link, or run Saver on one. Every photo and video in it, albums included, at the largest size Instagram stores.
Place. Search a location tag, or run Saver on a location page. The top and recent posts tagged there, each with Open for its files and Stories for the account that posted it.

Install

Drag this button to your bookmarks bar.

Can’t drag? and paste it as a new bookmark’s address.

Shortcut, which shows up in Safari’s share sheet. . In the Shortcuts app tap +, add Run JavaScript on Web Page and paste the code into it. Tap the name at the top, turn on Show in Share Sheet, and name it IG Saver. On instagram.com in Safari: Share, then IG Saver.
Bookmark. . Bookmark this page, then edit that bookmark and replace its address with the code. On instagram.com: tap the address bar, type IG Saver, and tap the bookmark.

The bookmark is a copy of the code, so after an update here, drag it (or paste the Shortcut code) again. · Source

Open instagram.com in Safari or Chrome, logged in, and run IG Saver. A profile, post or location page is picked up automatically. Esc or × closes the panel.
Tap a thumbnail to preview. Save fetches the full-size file, Save all the whole set. On a Mac or PC it downloads; on iPhone and iPad the share sheet opens, where Save Image or Save Video puts it in Photos. If Safari wants a fresh tap first, the button says Tap to save.

Files are named username_date_code.jpg or .mp4, with _1, _2 for albums.

The panel runs in your Instagram tab with your own login and talks only to instagram.com and its media servers. This site never sees what you look at or save.
You see only what your account can see. Instagram’s terms count this as automated access, so use it for looking and saving, not for running through hundreds of accounts.