When I press the directional pad down on the Xbox One in GTA Online and press A, a recording starts. Where are these recordings saved?

And where can I watch these recordings? I've searched for it everywhere but found nothing.

Think on Xbox

Where exactly? I don't find anything.

After you have finished your last desired recording, you can easily view it in the Rockstar Editor.

You can find the Rockstar Editor in the game menu of GTA V's story mode. Don't worry, your clips from online mode can also be called up there.

Here is a brief overview:

Start or switch to story mode.

Press the menu button on the controller (3 dashes one below the other).
Go to the far right with the right bumper (RB).
Start the Rockstar Editor with the A key.

There you can then manage your clips and create projects to make small films or something similar.

I have to thank you again. Simply great